{"id":30692,"date":"2023-06-17T04:34:02","date_gmt":"2023-06-17T04:34:02","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=30692"},"modified":"2023-11-15T16:19:18","modified_gmt":"2023-11-15T16:19:18","slug":"clock-angle-formula-definition-tricks-examples-facts-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/clock-angle-formula","title":{"rendered":"Clock Angle Formula &#8211; Definition, Tricks, Examples, Facts, FAQs"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-98a06cbb-85c1-49b4-905d-2547446e6452\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/clock-angle-formula#0-what-is-a-clock-angle-formula>What Is a Clock Angle Formula?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/clock-angle-formula#2-clock-angle-formula-calculations>Clock Angle Formula Calculations<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/clock-angle-formula#3-how-to-find-the-angle-between-hands-of-a-clock>How To Find the Angle between Hands of a Clock<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/clock-angle-formula#7-solved-examples-on-clock-angle-formula>Solved Examples on Clock Angle Formula<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/clock-angle-formula#8-practice-problems-on-clock-angle-formula>Practice Problems on Clock Angle Formula<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/clock-angle-formula#9-frequently-asked-questions-on-clock-angle-formula>Frequently Asked Questions on Clock Angle Formula<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-a-clock-angle-formula\">What Is a Clock Angle Formula?<\/h2>\n\n\n\n<p><strong>The clock angle formula helps us determine the <\/strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/angle\"><strong>angle<\/strong><\/a><strong> made by two hands of an analog clock at a particular time.<\/strong> Understanding different clock angles made by the hands of the clock is a wonderful way to relate the concept of time to the concept of angles in geometry.<\/p>\n\n\n\n<p>We all use <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/time\/analog-clock\">analog clocks<\/a> every day to tell <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/time\/time\">time<\/a>. The analog clock has three hands to indicate three different units of time &#8211; hour hand, minute hand, and second hand. These hands move at different speeds. A clock has a total of 12 divisions that together form a complete angle of 360.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"350\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/the-clock.png\" alt=\"The clock \" class=\"wp-image-35780\" title=\"The clock \" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/the-clock.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/the-clock-300x169.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-the-angles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_add_angles_pt.png\" alt=\"Add the Angles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add the Angles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/answer-questions-related-to-triangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_classify_tri_on_side_pt.png\" alt=\"Answer Questions Related to Triangles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Answer Questions Related to Triangles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/choose-the-clock\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/time_select_clock_pt.png\" alt=\"Choose the Clock Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Choose the Clock Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/classify-triangles-and-rectangles-as-closed-shape\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_triangle_rectangle_2_pt.png\" alt=\"Classify Triangles and Rectangles as Closed Shape Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Classify Triangles and Rectangles as Closed Shape Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/classify-triangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_classify_triangles_pt.png\" alt=\"Classify Triangles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Classify Triangles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/draw-angles-in-multiples-of-10-degrees\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_draw_angle_1_pt.png\" alt=\"Draw Angles in Multiples of 10 Degrees Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Draw Angles in Multiples of 10 Degrees Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/draw-angles-nearest-5-and-1-degrees\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_draw_angle_2_pt.png\" alt=\"Draw Angles Nearest 5 and 1 Degrees Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Draw Angles Nearest 5 and 1 Degrees Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/draw-angles-using-a-protractor\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_draw_angle_protractor_pt.png\" alt=\"Draw Angles Using a Protractor Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Draw Angles Using a Protractor Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-right-angles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_identify_right_angle_1_pt.png\" alt=\"Find Right Angles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find Right Angles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-the-perimeter-of-the-squared-and-the-rectangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_peri_rectangle_2_pt.png\" alt=\"Find the Perimeter of the Squared and the Rectangles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Find the Perimeter of the Squared and the Rectangles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-clock-angle-formulas\">Clock Angle Formulas<\/h2>\n\n\n\n<figure class=\"wp-block-table wj-custom-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\"><strong>Clock Angle Description<\/strong><\/th><th class=\"has-text-align-left\" data-align=\"left\"><strong>Formula<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">Angle between the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/time\/minute-hand\">minute hand<\/a> and the 12 o\u2019clock marked line:<\/td><td class=\"has-text-align-left\" data-align=\"left\">$Angle_{mins} = 6^{\\circ} \\times $ Number of minutes<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Angle between the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/time\/hour-hand\">hour hand<\/a> and the 12 o\u2019clock marked line:<\/td><td class=\"has-text-align-left\" data-align=\"left\">$Angle_{hours} = (30^{\\circ}$ Number of hours$) + (0.5 $\\times Number of minutes$)$<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">One angle between the clock hands:<\/td><td class=\"has-text-align-left\" data-align=\"left\">$=| Angle_{hours} \\;-\\; Angle_{minus}|$<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Other angle between the clock hands:<\/td><td class=\"has-text-align-left\" data-align=\"left\">$360^{\\circ}$- First angle $= 360^{\\circ}\\;-\\;\\theta$<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/choose-the-correct-clock\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/choose-the-correct-clock.jpeg\" alt=\"Choose the Correct Clock Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/count-sides-and-angles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/count-sides-and-angles.jpeg\" alt=\"Count Sides and Angles Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/draw-hands-of-the-clock\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/draw-hands-of-the-clock.jpeg\" alt=\"Draw Hands of the Clock Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/guess-the-correct-analog-clock\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/guess-the-correct-analog-clock.jpeg\" alt=\"Guess the Correct Analog Clock Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/guess-the-correct-clock\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/guess-the-correct-clock.jpeg\" alt=\"Guess the Correct Clock Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/guess-the-time-of-the-clock\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/guess-the-time-of-the-clock.jpeg\" alt=\"Guess the Time of the Clock Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/guess-the-time-on-the-clock\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/guess-the-time-on-the-clock.jpeg\" alt=\"Guess the Time on the Clock Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/half-hour-on-analog-clock\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/half-hour-on-analog-clock.jpeg\" alt=\"Half Hour on Analog Clock Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/half-hour-on-digital-clock\" data-vars-ga-category=\"splashlearn_vocab\" 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alt=\"Half Past on Analog Clock Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    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\"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading\" id=\"2-clock-angle-formula-calculations\">Clock Angle Formula Calculations<\/h2>\n\n\n\n<p>The clock angle formula is used to calculate the measure of the angle formed by the hour hand and the minute hand.&nbsp;<\/p>\n\n\n\n<p>An analog clock has 12 divisions. Between any two divisions, there is a $30^{\\circ}$ angle.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"346\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/12-divisions-of-a-clock-each-representing-a-30-degree-angle.png\" alt=\"\" class=\"wp-image-35781\" title=\"12 divisions of a clock, each representing a 30 degree angle \" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/12-divisions-of-a-clock-each-representing-a-30-degree-angle.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/12-divisions-of-a-clock-each-representing-a-30-degree-angle-300x167.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>In these 12 divisions, each division is further divided into five equal parts. Each small part represents one minute and an angle of $6^{\\circ}$.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"477\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/a-small-division-of-6-degrees-representing-a-minute-on-a-clock.png\" alt=\"A small division of 6 degrees representing a minute on a clock\" class=\"wp-image-35782\" title=\"A small division of 6 degrees representing a minute on a clock\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/a-small-division-of-6-degrees-representing-a-minute-on-a-clock.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/a-small-division-of-6-degrees-representing-a-minute-on-a-clock-300x231.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>Now, it will be easy for you to understand the following table of the divisions and its angular values. Note that this is the angle made by the minute hand from the 12 o\u2019clock mark.<\/p>\n\n\n\n<figure class=\"wp-block-table wj-custom-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\"><strong>Minutes<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Angular Value<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">1 minute<\/td><td class=\"has-text-align-center\" data-align=\"center\">$6^{\\circ}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">2 minutes<\/td><td class=\"has-text-align-center\" data-align=\"center\">$12^{\\circ}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">3 minutes<\/td><td class=\"has-text-align-center\" data-align=\"center\">$18^{\\circ}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">4 minutes<\/td><td class=\"has-text-align-center\" data-align=\"center\">$24^{\\circ}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">5 minutes<\/td><td class=\"has-text-align-center\" data-align=\"center\">$30^{\\circ}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">6 minutes<\/td><td class=\"has-text-align-center\" data-align=\"center\">$36^{\\circ}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">7 minutes<\/td><td class=\"has-text-align-center\" data-align=\"center\">$42^{\\circ}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">8 minutes<\/td><td class=\"has-text-align-center\" data-align=\"center\">$48^{\\circ}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">9 minutes<\/td><td class=\"has-text-align-center\" data-align=\"center\">$54^{\\circ}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">10 minutes<\/td><td class=\"has-text-align-center\" data-align=\"center\">$60^{\\circ}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">15 minutes<\/td><td class=\"has-text-align-center\" data-align=\"center\">$90^{\\circ}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">30 minutes<\/td><td class=\"has-text-align-center\" data-align=\"center\">$180^{\\circ}$<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">60 minutes<\/td><td class=\"has-text-align-center\" data-align=\"center\">$360^{\\circ}$<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-how-to-find-the-angle-between-hands-of-a-clock\">How To Find the Angle between Hands of a Clock<\/h2>\n\n\n\n<p>Three hands move at different speeds. Thus, the clock angle depends on the hands we consider in the measurement. Suppose we wish to measure the angle made by the minute hand and the hour hand. Let\u2019s understand how many degrees each hand produces in one minute. It will help you in the calculations.<\/p>\n\n\n\n<p><strong>How Many Degrees Does an Hour Hand Move In a Minute? (Bold)<\/strong><\/p>\n\n\n\n<p>The hour hand completes $30^{\\circ}$ in one hour. Thus, it covers $360^{\\circ}$ (a full turn) in 12 hours. It means that each hour, it moves by $30^{\\circ}$.<\/p>\n\n\n\n<p>If the hour hand moves $30^{\\circ}$ in 1 hour (60 minutes), then how many degrees does it move in a minute? It is $\\frac{30^{\\circ}}{60} =&nbsp; 0.5^{\\circ}.$<\/p>\n\n\n\n<p>Each minute, the hour hand moves by half a degree.<\/p>\n\n\n\n<p><strong>How Many Degrees Does a Minute Hand Move in a Minute? (Bold)<\/strong><\/p>\n\n\n\n<p>We know that 60 minutes make one hour. Thus, the minute hand completes $360^{\\circ}$ in 60 minutes. Therefore, in 1 minute, the minute hand covers a $6^{\\circ}$ angle.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-angle-between-hands-of-a-clock\">Angle Between Hands of a Clock<\/h2>\n\n\n\n<p>We will discuss two cases to find the angle made by the hands of a clock.<\/p>\n\n\n\n<p><strong>Case 1: A Simple Clock Problem<\/strong><\/p>\n\n\n\n<p>When there is a full hour on a clock, determining the angle between the hour hand and the minute hand is simple. The angle is equal to the number of hours multiplied by $30^{\\circ}$ since the minute hand is aimed at the number 12.<\/p>\n\n\n\n<p><strong>Example 1: Find the angle between the hands of a clock at 3 o&#8217;clock.<\/strong><\/p>\n\n\n\n<p>At 3 o&#8217;clock, the minute hand is at 12 and the hour hand is at 3.&nbsp;<\/p>\n\n\n\n<p>It means that the hour hand has covered the period of 3 hours. In other words, it has moved by 30 three times.<\/p>\n\n\n\n<p>Thus, the angle made by the hour hand and the minute hand will be $30^{\\circ} \\times 3 = 90^{\\circ}$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"307\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/the-angle-between-the-hands-of-a-clock-at-3-oclock.png\" alt=\"The angle between the hands of a clock at 3 o'clock\" class=\"wp-image-35783\" title=\"The angle between the hands of a clock at 3 o'clock\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/the-angle-between-the-hands-of-a-clock-at-3-oclock.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/the-angle-between-the-hands-of-a-clock-at-3-oclock-300x149.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>Here, we can also see that there are two angles between the hands of an analog clock. The second one is an obtuse angle, which fills the space on the other sides of an hour and minute hand. We can find it by subtracting one angle from $360^{\\circ}$.<\/p>\n\n\n\n<p>Thus, the other angle is $360^{\\circ}\\;-\\;&nbsp; 90^{\\circ} = 270^{\\circ}$.<\/p>\n\n\n\n<p><strong>Example 2: Find the angle made by the hour hand and the minute hand at 04:00.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"335\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/analog-clock-showing-04-00.png\" alt=\"Analog clock showing 04:00\" class=\"wp-image-35784\" title=\"Analog clock showing 04:00\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/analog-clock-showing-04-00.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/analog-clock-showing-04-00-300x162.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>At 4 o\u2019clock, the hour hand is at 4 and the minute hand is at 12.<\/p>\n\n\n\n<p>Number of hours $= 4$<\/p>\n\n\n\n<p>Angle from the minute hand to the hour hand $= 30^{\\circ} \\times 4 = 120^{\\circ}$&nbsp;<\/p>\n\n\n\n<p>Other angle (from hour hand to the minute hand)$ = 360^{\\circ} \\;-\\; 120^{\\circ} = 240^{\\circ}$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"390\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/angles-made-by-the-clock-hand-at-4-oclock.png\" alt=\"Angles made by the clock hand at 4 o\u2019clock\" class=\"wp-image-35785\" title=\"Angles made by the clock hand at 4 o\u2019clock\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/angles-made-by-the-clock-hand-at-4-oclock.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/angles-made-by-the-clock-hand-at-4-oclock-300x189.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>Note that the angle is negative if we measure clockwise.<\/p>\n\n\n\n<p><strong>Case 2: Using a Clock Angle Formula<\/strong><\/p>\n\n\n\n<p>Let us look at the steps to find angle between hands of a clock using a clock angle formula with the help of an example.<\/p>\n\n\n\n<p><strong>Example: Find the angle made by the hands of a clock at 7:13.<\/strong><\/p>\n\n\n\n<p><strong>Step 1: <\/strong>Draw the clock.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"328\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/analog-clock-reading-07-13.png\" alt=\"Analog clock reading 07:13\" class=\"wp-image-35786\" title=\"Analog clock reading 07:13\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/analog-clock-reading-07-13.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/analog-clock-reading-07-13-300x159.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Step 2:<\/strong> Mark the angle between the minute hand and 12 o&#8217;clock. We know that the minute hand moves by 6\u00b0 each minute. So, to calculate the angle between the minute hand and 12 o&#8217;clock, multiply the number of minutes by 6 degrees.<\/p>\n\n\n\n<p>$Angle_{minutes} = 6^{\\circ} \\times$ Number of minutes<\/p>\n\n\n\n<p>Here, the number of minutes $= 13$<\/p>\n\n\n\n<p>$Angle_{minutes} = 6^{\\circ} \\times 13 = 78^{\\circ}$<\/p>\n\n\n\n<p><strong>Step 3: <\/strong>Now, mark the angle between the hour hand and 12 o&#8217;clock. The hour hand moves with every minute. So, to find the correct angle, we also have to consider the number of minutes.&nbsp;<\/p>\n\n\n\n<p>Now, the hour hand moves 30\u00b0 with every full hour, and then 0.5\u00b0 every minute. So, the clock angle formula for the hour hand is:<\/p>\n\n\n\n<p>$Angle_{hours} = (30^{\\circ} \\times$<strong> Number of hours<\/strong>$) + (0.5\\times$<strong> Number of minutes<\/strong>$)$<\/p>\n\n\n\n<p>In our case, the number of hours $= 7$<\/p>\n\n\n\n<p>Number of minutes $= 13$<\/p>\n\n\n\n<p>$Angle_{hours} = (30^{\\circ} \\times 7) + (0.5^{\\circ} \\times 13) = 210^{\\circ} + 6.5^{\\circ} = 216.5^{\\circ}$<\/p>\n\n\n\n<p><strong>Step 4: <\/strong>Finally, find two clock angles. To find the first angle, find the absolute value of the difference of two angles:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>First angle <\/strong>$= |\\text{Angle in hours &#8211; Angle in minutes}|$<\/li>\n<\/ul>\n\n\n\n<ul class=\"wp-block-list\">\n<li>$\\text{Second angle} = 360^{\\circ} \\;-\\; \\text{First angle}$<\/li>\n<\/ul>\n\n\n\n<p>In our example,<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>First angle between clock hands $= |216.5^{\\circ} \\;-\\; 78^{\\circ}| = 138.5^{\\circ}$<\/li>\n\n\n\n<li>Second angle $= 360^{\\circ} \\;-\\;&nbsp; 138.5^{\\circ} = 221.5^{\\circ}$<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-facts-about-clock-angle-formula\">Facts about Clock Angle Formula<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>The two hands (the hour hand and the minute hand) move at different speeds.<\/li>\n\n\n\n<li>An analog clock has 12 equal divisions. Each division represents&nbsp; $30^{\\circ} (\\frac{360^{\\circ}}{12} = 30^{\\circ})$.<\/li>\n\n\n\n<li>Speed of the minute hand $= 6^{\\circ}$ per minute.<\/li>\n\n\n\n<li>Speed of the hour hand $= 0.5^{\\circ}$ per minute.<\/li>\n\n\n\n<li>The second hand completes a&nbsp;$360^{\\circ}$ angle in one minute.<\/li>\n\n\n\n<li>The minute hand takes 60 minutes (1 hour) to complete a&nbsp;$360^{\\circ}$ angle.<\/li>\n\n\n\n<li>The hour hand completes a&nbsp;$360^{\\circ}$ angle in 12 hours.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we have learned about the clock angle formulas, clock angle formula tricks, and methods of finding the angle by the hands of a clock. Let us solve some examples and practice problems to understand the concept better.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-solved-examples-on-clock-angle-formula\">Solved Examples on Clock Angle Formula<\/h2>\n\n\n\n<p><strong>1. What is the angle between the hour hand and minute hand in an analog clock at 6 o&#8217;clock?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>The angle between any two divisions is $30^{\\circ}$.<\/p>\n\n\n\n<p>The angle is equal to the hour multiplied by 30 degrees.<\/p>\n\n\n\n<p>Angle between clock hands $= 30^{\\circ} \\times 6 = 180^{\\circ}$<\/p>\n\n\n\n<p>The angle between the hands of a clock at 6 o&#8217;clock is $180^{\\circ}$.<\/p>\n\n\n\n<p><strong>2. At 5:00, what is the angle between the hour and minute hand on a clock?&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>At 5:00, the hour hand is on the 5 and the minute hand is at the 12.&nbsp;<\/p>\n\n\n\n<p>There are 12 divisions on a clock.&nbsp;<\/p>\n\n\n\n<p>Each division represents a $30^{\\circ}$ angle.<\/p>\n\n\n\n<p>At 05:00, the hands are separated by 5 divisions.<\/p>\n\n\n\n<p>Thus, the angle made by the hands is $30^{\\circ} \\times 5=150^{\\circ}$.<\/p>\n\n\n\n<p>The angle between the hour and minute hand on a clock at 5:00 is 150<\/p>\n\n\n\n<p><strong>3. Find the angle between the clock hands at 9:26.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>Number of minutes $= 26$<\/p>\n\n\n\n<p>$Angle_{mins} = 6^{\\circ} \\times&nbsp;26 = 156^{\\circ}$.<\/p>\n\n\n\n<p>Number of hours $= 9$<\/p>\n\n\n\n<p>$Angle_{hrs} = (30^{\\circ} \\times 9) + (0.5^{\\circ} \\times&nbsp;26) = 270^{\\circ} + 13^{\\circ} = 283^{\\circ}$.<\/p>\n\n\n\n<p>First angle (from minute hand to hour hand) $= Angle_{hrs} \\;-\\; Angle_{mins} = 283^{\\circ} \\;-\\; 156^{\\circ} = 127^{\\circ}$<\/p>\n\n\n\n<p>Second angle (from hour hand to minute hand) $= 360^{\\circ} \\;-\\;&nbsp; \\text{First angle} = 360^{\\circ} \\;-\\; 127^{\\circ} = 233^{\\circ}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-practice-problems-on-clock-angle-formula\">Practice Problems on Clock Angle Formula<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Clock Angle Formula - Definition, Tricks, Examples, Facts, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Each hour, the hour hand moves by _________.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">30 degrees<\/div><div class=\"spq_answer_block\" data-value=\"1\">60 degrees<\/div><div class=\"spq_answer_block\" data-value=\"2\">5 degrees<\/div><div class=\"spq_answer_block\" data-value=\"3\">20 degrees<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 30 degrees<br\/>The shorter hand, that is, the hour hand makes a full turn in 12 hours. It means that each hour, it moves by $\\frac{360^{\\circ}}{12} = 30^{\\circ}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">The minute hand moves _____ degrees every minute.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$0.5^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$6^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$60^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$30^{\\circ}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $6^{\\circ}$<br\/>The minute hand completes 360 degrees in 60 minutes.<br>\r\nSo, every minute it moves by $\\frac{360^{\\circ}}{60} = 6^{\\circ}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">The clock shows 9 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 3 o'clock in the afternoon?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$144^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$150^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$160^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$180^{\\circ}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $180^{\\circ}$<br\/>Hour hand moves $30^{\\circ}$ per hour.<br>\r\nFor 6 hours, $6 \\times 30^{\\circ} = 180^{\\circ}$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">When the time in the clock is 7:20 P.M., then the angle between the hands of the clock<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$80^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$90^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$100^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$110^{\\circ}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $100^{\\circ}$<br\/>$Angle_{hrs} = (30^{\\circ} \\times 7) + (0.5^{\\circ} \\times 20) = 210^{\\circ} + 10^{\\circ} = 220^{\\circ}$<br>\r\n$Angle_{mins} = 6^{\\circ} \\times 20 =  120^{\\circ}$<br>\r\nDifference or angle between the hands $=  220^{\\circ} \\;-\\; 120^{\\circ} = 100^{\\circ}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">The angle from the minute hand to the hour hand of a clock when the time is 8:30 is<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$65^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$75^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$85^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$95^{\\circ}$<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: $75^{\\circ}$<br\/>$Angle_{hrs} = (30^{\\circ} \\times 8) + (0.5^{\\circ} \\times 30) = 240^{\\circ} + 15^{\\circ} = 255^{\\circ}$<br>\r\n$Angle_{mins} = 6^{\\circ} \\times 30 =  180^{\\circ}$<br>\r\nAngle from the minute hand to the hour hand $=  255^{\\circ} \\;-\\; 180^{\\circ} = 75^{\\circ}$<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Clock Angle Formula - Definition, Tricks, Examples, Facts, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Clock Angle Formula\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Each hour, the hour hand moves by _________.\",\n                    \"text\": \"Each hour, the hour hand moves by _________.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The shorter hand, that is, the hour hand makes a full turn in 12 hours. It means that each hour, it moves by $$\\\\frac{360^{\\\\circ}}{12} = 30^{\\\\circ}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"60 degrees\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The shorter hand, that is, the hour hand makes a full turn in 12 hours. It means that each hour, it moves by $$\\\\frac{360^{\\\\circ}}{12} = 30^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5 degrees\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The shorter hand, that is, the hour hand makes a full turn in 12 hours. It means that each hour, it moves by $$\\\\frac{360^{\\\\circ}}{12} = 30^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"20 degrees\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The shorter hand, that is, the hour hand makes a full turn in 12 hours. It means that each hour, it moves by $$\\\\frac{360^{\\\\circ}}{12} = 30^{\\\\circ}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"30 degrees\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The shorter hand, that is, the hour hand makes a full turn in 12 hours. It means that each hour, it moves by $$\\\\frac{360^{\\\\circ}}{12} = 30^{\\\\circ}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The shorter hand, that is, the hour hand makes a full turn in 12 hours. It means that each hour, it moves by $$\\\\frac{360^{\\\\circ}}{12} = 30^{\\\\circ}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The minute hand moves _____ degrees every minute.\",\n                    \"text\": \"The minute hand moves _____ degrees every minute.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The minute hand completes 360 degrees in 60 minutes.<br>\r\nSo, every minute it moves by $$\\\\frac{360^{\\\\circ}}{60} = 6^{\\\\circ}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$0.5^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The minute hand completes 360 degrees in 60 minutes.<br>\r\nSo, every minute it moves by $$\\\\frac{360^{\\\\circ}}{60} = 6^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$60^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The minute hand completes 360 degrees in 60 minutes.<br>\r\nSo, every minute it moves by $$\\\\frac{360^{\\\\circ}}{60} = 6^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$30^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The minute hand completes 360 degrees in 60 minutes.<br>\r\nSo, every minute it moves by $$\\\\frac{360^{\\\\circ}}{60} = 6^{\\\\circ}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$6^{\\\\circ}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The minute hand completes 360 degrees in 60 minutes.<br>\r\nSo, every minute it moves by $$\\\\frac{360^{\\\\circ}}{60} = 6^{\\\\circ}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The minute hand completes 360 degrees in 60 minutes.<br>\r\nSo, every minute it moves by $$\\\\frac{360^{\\\\circ}}{60} = 6^{\\\\circ}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The clock shows 9 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 3 o'clock in the afternoon?\",\n                    \"text\": \"The clock shows 9 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 3 o'clock in the afternoon?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Hour hand moves $$30^{\\\\circ}$$ per hour.<br>\r\nFor 6 hours, $$6 \\\\times 30^{\\\\circ} = 180^{\\\\circ}$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$144^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Hour hand moves $$30^{\\\\circ}$$ per hour.<br>\r\nFor 6 hours, $$6 \\\\times 30^{\\\\circ} = 180^{\\\\circ}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$150^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Hour hand moves $$30^{\\\\circ}$$ per hour.<br>\r\nFor 6 hours, $$6 \\\\times 30^{\\\\circ} = 180^{\\\\circ}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$160^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Hour hand moves $$30^{\\\\circ}$$ per hour.<br>\r\nFor 6 hours, $$6 \\\\times 30^{\\\\circ} = 180^{\\\\circ}$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$180^{\\\\circ}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Hour hand moves $$30^{\\\\circ}$$ per hour.<br>\r\nFor 6 hours, $$6 \\\\times 30^{\\\\circ} = 180^{\\\\circ}$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Hour hand moves $$30^{\\\\circ}$$ per hour.<br>\r\nFor 6 hours, $$6 \\\\times 30^{\\\\circ} = 180^{\\\\circ}$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"When the time in the clock is 7:20 P.M., then the angle between the hands of the clock\",\n                    \"text\": \"When the time in the clock is 7:20 P.M., then the angle between the hands of the clock\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$Angle_{hrs} = (30^{\\\\circ} \\\\times 7) + (0.5^{\\\\circ} \\\\times 20) = 210^{\\\\circ} + 10^{\\\\circ} = 220^{\\\\circ}$$<br>\r\n$$Angle_{mins} = 6^{\\\\circ} \\\\times 20 =  120^{\\\\circ}$$<br>\r\nDifference or angle between the hands $$=  220^{\\\\circ} \\\\;-\\\\; 120^{\\\\circ} = 100^{\\\\circ}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$80^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$Angle_{hrs} = (30^{\\\\circ} \\\\times 7) + (0.5^{\\\\circ} \\\\times 20) = 210^{\\\\circ} + 10^{\\\\circ} = 220^{\\\\circ}$$<br>\r\n$$Angle_{mins} = 6^{\\\\circ} \\\\times 20 =  120^{\\\\circ}$$<br>\r\nDifference or angle between the hands $$=  220^{\\\\circ} \\\\;-\\\\; 120^{\\\\circ} = 100^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$90^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$Angle_{hrs} = (30^{\\\\circ} \\\\times 7) + (0.5^{\\\\circ} \\\\times 20) = 210^{\\\\circ} + 10^{\\\\circ} = 220^{\\\\circ}$$<br>\r\n$$Angle_{mins} = 6^{\\\\circ} \\\\times 20 =  120^{\\\\circ}$$<br>\r\nDifference or angle between the hands $$=  220^{\\\\circ} \\\\;-\\\\; 120^{\\\\circ} = 100^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$110^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$Angle_{hrs} = (30^{\\\\circ} \\\\times 7) + (0.5^{\\\\circ} \\\\times 20) = 210^{\\\\circ} + 10^{\\\\circ} = 220^{\\\\circ}$$<br>\r\n$$Angle_{mins} = 6^{\\\\circ} \\\\times 20 =  120^{\\\\circ}$$<br>\r\nDifference or angle between the hands $$=  220^{\\\\circ} \\\\;-\\\\; 120^{\\\\circ} = 100^{\\\\circ}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$100^{\\\\circ}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$Angle_{hrs} = (30^{\\\\circ} \\\\times 7) + (0.5^{\\\\circ} \\\\times 20) = 210^{\\\\circ} + 10^{\\\\circ} = 220^{\\\\circ}$$<br>\r\n$$Angle_{mins} = 6^{\\\\circ} \\\\times 20 =  120^{\\\\circ}$$<br>\r\nDifference or angle between the hands $$=  220^{\\\\circ} \\\\;-\\\\; 120^{\\\\circ} = 100^{\\\\circ}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$Angle_{hrs} = (30^{\\\\circ} \\\\times 7) + (0.5^{\\\\circ} \\\\times 20) = 210^{\\\\circ} + 10^{\\\\circ} = 220^{\\\\circ}$$<br>\r\n$$Angle_{mins} = 6^{\\\\circ} \\\\times 20 =  120^{\\\\circ}$$<br>\r\nDifference or angle between the hands $$=  220^{\\\\circ} \\\\;-\\\\; 120^{\\\\circ} = 100^{\\\\circ}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The angle from the minute hand to the hour hand of a clock when the time is 8:30 is\",\n                    \"text\": \"The angle from the minute hand to the hour hand of a clock when the time is 8:30 is\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$Angle_{hrs} = (30^{\\\\circ} \\\\times 8) + (0.5^{\\\\circ} \\\\times 30) = 240^{\\\\circ} + 15^{\\\\circ} = 255^{\\\\circ}$$<br>\r\n$$Angle_{mins} = 6^{\\\\circ} \\\\times 30 =  180^{\\\\circ}$$<br>\r\nAngle from the minute hand to the hour hand $$=  255^{\\\\circ} \\\\;-\\\\; 180^{\\\\circ} = 75^{\\\\circ}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$65^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$Angle_{hrs} = (30^{\\\\circ} \\\\times 8) + (0.5^{\\\\circ} \\\\times 30) = 240^{\\\\circ} + 15^{\\\\circ} = 255^{\\\\circ}$$<br>\r\n$$Angle_{mins} = 6^{\\\\circ} \\\\times 30 =  180^{\\\\circ}$$<br>\r\nAngle from the minute hand to the hour hand $$=  255^{\\\\circ} \\\\;-\\\\; 180^{\\\\circ} = 75^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$85^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$Angle_{hrs} = (30^{\\\\circ} \\\\times 8) + (0.5^{\\\\circ} \\\\times 30) = 240^{\\\\circ} + 15^{\\\\circ} = 255^{\\\\circ}$$<br>\r\n$$Angle_{mins} = 6^{\\\\circ} \\\\times 30 =  180^{\\\\circ}$$<br>\r\nAngle from the minute hand to the hour hand $$=  255^{\\\\circ} \\\\;-\\\\; 180^{\\\\circ} = 75^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$95^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$Angle_{hrs} = (30^{\\\\circ} \\\\times 8) + (0.5^{\\\\circ} \\\\times 30) = 240^{\\\\circ} + 15^{\\\\circ} = 255^{\\\\circ}$$<br>\r\n$$Angle_{mins} = 6^{\\\\circ} \\\\times 30 =  180^{\\\\circ}$$<br>\r\nAngle from the minute hand to the hour hand $$=  255^{\\\\circ} \\\\;-\\\\; 180^{\\\\circ} = 75^{\\\\circ}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$75^{\\\\circ}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$Angle_{hrs} = (30^{\\\\circ} \\\\times 8) + (0.5^{\\\\circ} \\\\times 30) = 240^{\\\\circ} + 15^{\\\\circ} = 255^{\\\\circ}$$<br>\r\n$$Angle_{mins} = 6^{\\\\circ} \\\\times 30 =  180^{\\\\circ}$$<br>\r\nAngle from the minute hand to the hour hand $$=  255^{\\\\circ} \\\\;-\\\\; 180^{\\\\circ} = 75^{\\\\circ}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$Angle_{hrs} = (30^{\\\\circ} \\\\times 8) + (0.5^{\\\\circ} \\\\times 30) = 240^{\\\\circ} + 15^{\\\\circ} = 255^{\\\\circ}$$<br>\r\n$$Angle_{mins} = 6^{\\\\circ} \\\\times 30 =  180^{\\\\circ}$$<br>\r\nAngle from the minute hand to the hour hand $$=  255^{\\\\circ} \\\\;-\\\\; 180^{\\\\circ} = 75^{\\\\circ}$$\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-frequently-asked-questions-on-clock-angle-formula\">Frequently Asked Questions on Clock Angle Formula<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-7a94fcfe-fd87-4572-a65d-203cb749860d\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-7a94fcfe-fd87-4572-a65d-203cb749860d\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7a94fcfe-fd87-4572-a65d-203cb749860d\"><strong>How many times in a day do the hands of a clock make a right angle?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-7a94fcfe-fd87-4572-a65d-203cb749860d\">\n\n<p>In 12 hours, the hands of a clock are at right angles 22 times. Therefore, in 24 hours, the hands of the clock will be at right angles $22 \\times 2 = 44$ times.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-7a94fcfe-fd87-4572-a65d-203cb749860d\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7a94fcfe-fd87-4572-a65d-203cb749860d\"><strong>What are the various angles made by the hands of a clock ?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-7a94fcfe-fd87-4572-a65d-203cb749860d\">\n\n<p>On a clock, we can see different kinds of angles such as acute, right, straight, obtuse, reflex angle, and full angle. Take a look at the image given below:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"622\" height=\"529\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/clock-angle-formula-FAQ.png\" alt=\"Angles made by hands of a clock\" class=\"wp-image-30694\" title=\"Angles made by hands of a clock\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/clock-angle-formula-FAQ.png 622w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/06\/clock-angle-formula-FAQ-300x255.png 300w\" sizes=\"auto, (max-width: 622px) 100vw, 622px\" \/><\/figure>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-7a94fcfe-fd87-4572-a65d-203cb749860d\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7a94fcfe-fd87-4572-a65d-203cb749860d\"><strong>What value does a clock angle formula give when the clock shows 12 hours?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-7a94fcfe-fd87-4572-a65d-203cb749860d\">\n\n<p>According to clock angle formula theory, at 12 hours the measure between the hour hand and the minute hand is $360^{\\circ}$.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-7a94fcfe-fd87-4572-a65d-203cb749860d\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-7a94fcfe-fd87-4572-a65d-203cb749860d\"><strong>How many times do the hands of a clock coincide in a day?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-7a94fcfe-fd87-4572-a65d-203cb749860d\">\n\n<p>The hands of a clock coincide 11 times in every 12 hours (Since between 11 and 1, they coincide only once, at 12 o&#8217;clock).<\/p>\n\n\n\n<figure class=\"wp-block-table wj-custom-table\"><table class=\"wj-table-class\"><tbody><tr><td>A.M.<\/td><td>12.00<\/td><td>1.05<\/td><td>2.11<\/td><td>3.16<\/td><td>4.22<\/td><td>5.27<\/td><td>6.33<\/td><td>7.38<\/td><td>8.44<\/td><td>9.49<\/td><td>10.55<\/td><\/tr><tr><td>P.M.<\/td><td>12.00<\/td><td>1.05<\/td><td>2.11<\/td><td>3.16<\/td><td>4.22<\/td><td>5.27<\/td><td>6.33<\/td><td>7.38<\/td><td>8.44<\/td><td>9.49<\/td><td>10.55<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>The hands overlap about every 65 minutes, not every 60 minutes.<\/p>\n\n\n\n<p>Therefore, the hands coincide 22 times in a day.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is a Clock Angle Formula? The clock angle formula helps us determine the angle made by two hands of an analog clock at a particular time. Understanding different clock angles made by the hands of the clock is a wonderful way to relate the concept of time to the concept of angles in geometry. &#8230; <a title=\"Clock Angle Formula &#8211; Definition, Tricks, Examples, Facts, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/clock-angle-formula\" aria-label=\"More on Clock Angle Formula &#8211; Definition, Tricks, Examples, Facts, FAQs\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-30692","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/30692","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=30692"}],"version-history":[{"count":19,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/30692\/revisions"}],"predecessor-version":[{"id":35787,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/30692\/revisions\/35787"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=30692"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=30692"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=30692"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}