{"id":1748,"date":"2022-04-22T09:21:46","date_gmt":"2022-04-22T09:21:46","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1748"},"modified":"2023-02-20T07:02:13","modified_gmt":"2023-02-20T07:02:13","slug":"quarter-circle-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/quarter-circle","title":{"rendered":"Quarter Circle"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><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-33191166-f28b-4233-b793-3606cbfb6e34\" 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\/geometry\/quarter-circle#0-quarter-circle-introduction>Quarter Circle &#8211; Introduction<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/quarter-circle#1-what-is-a-quarter-circle>What Is a Quarter Circle?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/quarter-circle#2-area-of-a-quarter-circle>Area of a Quarter Circle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/quarter-circle#4-solved-examples>Solved Examples<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/quarter-circle#5-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/quarter-circle#6-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"0-quarter-circle-introduction\">Quarter Circle &#8211; Introduction<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">In our everyday lives, we come across many shapes in the form of various objects, like a square table, a rectangular tray, a football in the shape of a circle, oval eggs, etc.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Have you ever observed the shape of a slice of pizza when divided into 4 equal parts? It looks like a triangle, but one of the sides is actually curvy. This shape is called a quarter circle.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"317\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Quarter-Circle-1.png\" alt=\"Real-life example of quarter shape.\" class=\"wp-image-12169\" title=\"Real-life example of quarter shape.\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Quarter-Circle-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Quarter-Circle-1-300x153.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\/count-upto-10-objects-in-circle\" 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\/count_comp_hide_and_seek_10_gm.png\" alt=\"Count upto 10 Objects in Circle 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\">Count upto 10 Objects in Circle 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\/express-quarter-hours-in-digital-format\" 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_qrtr_hrs_tell_time_ac_pt.png\" alt=\"Express Quarter Hours in Digital Format 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\">Express Quarter Hours in Digital Format 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\/identify-circles-and-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\/geometry_circles_rectangles_pt.png\" alt=\"Identify Circles and 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\">Identify Circles and 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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-quarter-past-and-quarter-to\" 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_qrtr_hrs_express_time_pt.png\" alt=\"Identify Quarter Past and Quarter To 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\">Identify Quarter Past and Quarter To 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\/identity-quarter-hours\" 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_qrtr_hrs_tell_time_words_pt.png\" alt=\"Identity Quarter Hours 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\">Identity Quarter Hours 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\/match-rectangles-and-circles\" 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_amusement_park_3_6_gm.png\" alt=\"Match Rectangles and Circles 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\">Match Rectangles and Circles 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\/set-quarter-hours-on-an-analog-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_qrtr_hrs_set_time_words_pt.png\" alt=\"Set Quarter Hours on an Analog 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\">Set Quarter Hours on an Analog 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\/set-time-to-quarter-hours-on-an-analog-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_qrtr_hrs_set_time_ac_pt.png\" alt=\"Set Time to Quarter Hours on an Analog 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\">Set Time to Quarter Hours on an Analog 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><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=\"eplus-wrapper wp-block-heading\" id=\"1-what-is-a-quarter-circle\">What Is a Quarter Circle?<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"423\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Quarter-Circle-2.png\" alt=\"Quarter of a circle.\" class=\"wp-image-12170\" title=\"Quarter of a circle.\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Quarter-Circle-2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Quarter-Circle-2-300x205.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">A quarter of anything means one-fourth of that object or thing. Thus, by a quarter of a circle, we mean one-fourth of the circle. We can also get a quarter circle by dividing a semicircle into two halves.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">The following image shows division of a circle in quarters.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"352\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Quarter-Circle-3.png\" alt=\"Fractional representation of a quarter\" class=\"wp-image-12171\" title=\"Fractional representation of a quarter\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Quarter-Circle-3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Quarter-Circle-3-300x170.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">In mathematical terms, the area created by two perpendicular radii and one-fourth area of the circumference of a whole circle is called a quarter circle. It is also often referred to as a <strong>quadrant<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"427\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Quarter-Circle-4.png\" alt=\"Elements of a circle\" class=\"wp-image-12172\" title=\"Elements of a circle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Quarter-Circle-4.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Quarter-Circle-4-300x207.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/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\/circle-equivalent-fractions\" 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\/circle-equivalent-fractions.jpeg\" alt=\"Circle Equivalent Fractions 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-the-quarters\" 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-the-quarters.jpeg\" alt=\"Count the Quarters\">\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\/identify-halves-and-quarters\" 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\/identify-halves-and-quarters.jpeg\" alt=\"Identify Halves and Quarters 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\/identify-quarters\" 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\/identify-quarters.jpeg\" alt=\"Identify Quarters 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\/quarters-and-half-past-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\/quarters-and-half-past-on-analog-clock.jpeg\" alt=\"Quarters and 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 class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/quarters-and-half-past-on-digital-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\/quarters-and-half-past-on-digital-clock.jpeg\" alt=\"Quarters and Half Past on Digital 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\/quarters-and-half-past\" 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\/quarters-and-half-past.jpeg\" alt=\"Quarters and Half Past 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\/squares-and-circles\" 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\/squares-and-circles.jpeg\" alt=\"Squares and Circles 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                    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=\"eplus-wrapper wp-block-heading\" id=\"2-area-of-a-quarter-circle\">Area of a Quarter Circle<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">One-fourth area of a whole circle is known as the area of a quadrant or a quarter of a circle.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Quarter circle formula for area can be given as:<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Area of a quarter circle $=$ Area of circle $\/ 4 = \\frac{\u03c0\\text{r}^2}{4}$<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Note:<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">The value of $\u03c0 = 22\/7$ or, $3.14$<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"3-perimeter-of-a-quarter-circle\">Perimeter of a Quarter Circle<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">The perimeter of a quarter circle consists of two radii and the circumference of a quarter circle (which is the one fourth part of the circumference of a circle). Hence, the formula for calculating it would be as follows:<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Perimeter of a Quarter Circle $= \\text{r} + \\text{r} + (\\frac{2\u03c0\\text{r}}{4}) = 2\\text{r} + (\\frac{\u03c0\\text{r}}{2})$<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"4-solved-examples\">Solved Examples<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 1: <\/strong>If the radius of a circle is 6 cm, what will be the area of a quarter of its circle?<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">Area of a quadrant $= \u03c0\\frac{\\text{r}^2}{4}$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= \\frac{3.14 \\times 6 \\times 6}{4}$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= \\frac{113.04} {4}$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;$= 28.26 \\text{cm\u00b2}$<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 2:<\/strong> If the diameter of a circle is 32 cm, what will be the area of a quarter circle?<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">Diameter of the circle $= 32$ cm<\/p>\n\n\n\n<p class=\" eplus-wrapper\">So, radius of the circle $= \\text{diameter}\/2 = 32\/2 = 16 \\text{cm}$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Area of quadrant $= \\frac{\u03c0\\text{r}}{24} = \\frac{3.14 \\times 16 \\times 16} {4} = 200.96 \\text{cm\u00b2}$<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 3:<\/strong> A circular park has a radius of 35 yards. One-quarter of the park has a playground for toddlers. Find the perimeter of the playground.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">The total radius of the park $(\\text{r}) = 35$ yards<\/p>\n\n\n\n<p class=\" eplus-wrapper\">The perimeter of the quarter of the park $= 2\\text{r} +$ $(\\frac{\u03c0\\text{r}}{2})$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$= 2 \\times 35 &nbsp;+ ( \\frac{3.14 \\times 35} {2})$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$= 70 + 54.95$<\/p>\n\n\n\n<p class=\" eplus-wrapper\">$= 124.95$ yards<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"5-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Quarter Circle<\/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\">Choose the correct formula for calculating the area of a quarter circle.<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Practice-Problems-2-1.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\"> $\\frac{\\text{\u03c0r}^2}{4}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{\u03c0r^2}{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$2\u03c0r\u00b2$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$2r + (\\frac{\u03c0r}{2})$<\/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:  $\\frac{\\text{\u03c0r}^2}{4}$<br\/>The formula to calculate the area of a quarter of a circle is  $\\frac{\\text{\u03c0r}^2}{4}$<\/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\">Sam ordered a 16-inch pizza for himself and his 3 friends. They want to share the pizza equally among themselves. Find the quantity of pizza each one got. $(\\text{Use} \u03c0 = 3.14)$<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">45.05 square inches<\/div><div class=\"spq_answer_block\" data-value=\"1\">50.24 square inches<\/div><div class=\"spq_answer_block\" data-value=\"2\">51.12 square inches<\/div><div class=\"spq_answer_block\" data-value=\"3\">62.07 square inches<\/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: 50.24 square inches<br\/>Radius of the pizza $(\\text{r}) = d \/ 2$<br>\r\n                                \t$= 16 \/ 2 = 8$ inches<br>\r\nArea of each quarter portion of pizza $=  \\frac{\\text{\u03c0r}^2}{4} = \\frac{3.14 \\times 8 \\times 8}{4}$<br>\r\n                                    \t      \r\n                               \t$= 50.24$ square inches<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">What is the perimeter of a quarter circle whose radius is 14 units?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">25.54 units<\/div><div class=\"spq_answer_block\" data-value=\"1\">40.89 units<\/div><div class=\"spq_answer_block\" data-value=\"2\">49.98 units<\/div><div class=\"spq_answer_block\" data-value=\"3\">60.45 units<\/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: 49.98 units<br\/>Given radius of the circle $= 14$ units<br>\r\nThe perimeter of a quarter circle $= 2r + (\\frac{\\text{\u03c0r}}{2})$<br>\r\n$= 2 \\times 14  + (\\frac{3.14 \\times 14}{2}$)<br>\r\n$= 28 + 21.98$<br>\r\n$= 49.98$ units<\/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\": \"Quarter Circle\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Area and Perimeter of a Quarter Circle\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Choose the correct formula for calculating the area of a quarter circle.\",\n                    \"text\": \"Choose the correct formula for calculating the area of a quarter circle. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/10\/Practice-Problems-2-1.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The formula to calculate the area of a quarter of a circle is  $$\\\\frac{\\\\text{\u03c0r}^2}{4}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{\u03c0r^2}{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The formula to calculate the area of a quarter of a circle is  $$\\\\frac{\\\\text{\u03c0r}^2}{4}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$2\u03c0r\u00b2$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The formula to calculate the area of a quarter of a circle is  $$\\\\frac{\\\\text{\u03c0r}^2}{4}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$2r + (\\\\frac{\u03c0r}{2})$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The formula to calculate the area of a quarter of a circle is  $$\\\\frac{\\\\text{\u03c0r}^2}{4}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \" $$\\\\frac{\\\\text{\u03c0r}^2}{4}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The formula to calculate the area of a quarter of a circle is  $$\\\\frac{\\\\text{\u03c0r}^2}{4}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The formula to calculate the area of a quarter of a circle is  $$\\\\frac{\\\\text{\u03c0r}^2}{4}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Sam ordered a 16-inch pizza for himself and his 3 friends. They want to share the pizza equally among themselves. Find the quantity of pizza each one got. $$(\\\\text{Use} \u03c0 = 3.14)$$\",\n                    \"text\": \"Sam ordered a 16-inch pizza for himself and his 3 friends. They want to share the pizza equally among themselves. Find the quantity of pizza each one got. $$(\\\\text{Use} \u03c0 = 3.14)$$\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Radius of the pizza $$(\\\\text{r}) = d \/ 2$$<br>\r\n                                \t$$= 16 \/ 2 = 8$$ inches<br>\r\nArea of each quarter portion of pizza $$=  \\\\frac{\\\\text{\u03c0r}^2}{4} = \\\\frac{3.14 \\\\times 8 \\\\times 8}{4}$$<br>\r\n                                    \t      \r\n                               \t$$= 50.24$$ square inches\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"45.05 square inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Radius of the pizza $$(\\\\text{r}) = d \/ 2$$<br>\r\n                                \t$$= 16 \/ 2 = 8$$ inches<br>\r\nArea of each quarter portion of pizza $$=  \\\\frac{\\\\text{\u03c0r}^2}{4} = \\\\frac{3.14 \\\\times 8 \\\\times 8}{4}$$<br>\r\n                                    \t      \r\n                               \t$$= 50.24$$ square inches\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"51.12 square inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Radius of the pizza $$(\\\\text{r}) = d \/ 2$$<br>\r\n                                \t$$= 16 \/ 2 = 8$$ inches<br>\r\nArea of each quarter portion of pizza $$=  \\\\frac{\\\\text{\u03c0r}^2}{4} = \\\\frac{3.14 \\\\times 8 \\\\times 8}{4}$$<br>\r\n                                    \t      \r\n                               \t$$= 50.24$$ square inches\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"62.07 square inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Radius of the pizza $$(\\\\text{r}) = d \/ 2$$<br>\r\n                                \t$$= 16 \/ 2 = 8$$ inches<br>\r\nArea of each quarter portion of pizza $$=  \\\\frac{\\\\text{\u03c0r}^2}{4} = \\\\frac{3.14 \\\\times 8 \\\\times 8}{4}$$<br>\r\n                                    \t      \r\n                               \t$$= 50.24$$ square inches\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"50.24 square inches\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Radius of the pizza $$(\\\\text{r}) = d \/ 2$$<br>\r\n                                \t$$= 16 \/ 2 = 8$$ inches<br>\r\nArea of each quarter portion of pizza $$=  \\\\frac{\\\\text{\u03c0r}^2}{4} = \\\\frac{3.14 \\\\times 8 \\\\times 8}{4}$$<br>\r\n                                    \t      \r\n                               \t$$= 50.24$$ square inches\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Radius of the pizza $$(\\\\text{r}) = d \/ 2$$<br>\r\n                                \t$$= 16 \/ 2 = 8$$ inches<br>\r\nArea of each quarter portion of pizza $$=  \\\\frac{\\\\text{\u03c0r}^2}{4} = \\\\frac{3.14 \\\\times 8 \\\\times 8}{4}$$<br>\r\n                                    \t      \r\n                               \t$$= 50.24$$ square inches\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the perimeter of a quarter circle whose radius is 14 units?\",\n                    \"text\": \"What is the perimeter of a quarter circle whose radius is 14 units?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Given radius of the circle $$= 14$$ units<br>\r\nThe perimeter of a quarter circle $$= 2r + (\\\\frac{\\\\text{\u03c0r}}{2})$$<br>\r\n$$= 2 \\\\times 14  + (\\\\frac{3.14 \\\\times 14}{2}$$)<br>\r\n$$= 28 + 21.98$$<br>\r\n$$= 49.98$$ units\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"25.54 units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Given radius of the circle $$= 14$$ units<br>\r\nThe perimeter of a quarter circle $$= 2r + (\\\\frac{\\\\text{\u03c0r}}{2})$$<br>\r\n$$= 2 \\\\times 14  + (\\\\frac{3.14 \\\\times 14}{2}$$)<br>\r\n$$= 28 + 21.98$$<br>\r\n$$= 49.98$$ units\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"40.89 units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Given radius of the circle $$= 14$$ units<br>\r\nThe perimeter of a quarter circle $$= 2r + (\\\\frac{\\\\text{\u03c0r}}{2})$$<br>\r\n$$= 2 \\\\times 14  + (\\\\frac{3.14 \\\\times 14}{2}$$)<br>\r\n$$= 28 + 21.98$$<br>\r\n$$= 49.98$$ units\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"60.45 units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Given radius of the circle $$= 14$$ units<br>\r\nThe perimeter of a quarter circle $$= 2r + (\\\\frac{\\\\text{\u03c0r}}{2})$$<br>\r\n$$= 2 \\\\times 14  + (\\\\frac{3.14 \\\\times 14}{2}$$)<br>\r\n$$= 28 + 21.98$$<br>\r\n$$= 49.98$$ units\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"49.98 units\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Given radius of the circle $$= 14$$ units<br>\r\nThe perimeter of a quarter circle $$= 2r + (\\\\frac{\\\\text{\u03c0r}}{2})$$<br>\r\n$$= 2 \\\\times 14  + (\\\\frac{3.14 \\\\times 14}{2}$$)<br>\r\n$$= 28 + 21.98$$<br>\r\n$$= 49.98$$ units\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Given radius of the circle $$= 14$$ units<br>\r\nThe perimeter of a quarter circle $$= 2r + (\\\\frac{\\\\text{\u03c0r}}{2})$$<br>\r\n$$= 2 \\\\times 14  + (\\\\frac{3.14 \\\\times 14}{2}$$)<br>\r\n$$= 28 + 21.98$$<br>\r\n$$= 49.98$$ units\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"6-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-98a5d9f4-4c5a-46cd-8230-38cf4fa0c176\" 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-0-98a5d9f4-4c5a-46cd-8230-38cf4fa0c176\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-98a5d9f4-4c5a-46cd-8230-38cf4fa0c176\"><strong>What is another term used for a quarter circle?<\/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-0-98a5d9f4-4c5a-46cd-8230-38cf4fa0c176\">\n\n<p>A quarter-circle is also known as a quadrant and is formed by dividing a whole circle into four equal parts.<\/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-1-98a5d9f4-4c5a-46cd-8230-38cf4fa0c176\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-98a5d9f4-4c5a-46cd-8230-38cf4fa0c176\"><strong>Is the radius of a quarter circle different from the radius of the whole circle?<\/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-1-98a5d9f4-4c5a-46cd-8230-38cf4fa0c176\">\n\n<p>No, the radius of a quadrant will always be equal to the radius of the whole circle.<\/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-2-98a5d9f4-4c5a-46cd-8230-38cf4fa0c176\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-98a5d9f4-4c5a-46cd-8230-38cf4fa0c176\"><strong>How can we calculate the area of a quarter circle by using the radius?<\/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-2-98a5d9f4-4c5a-46cd-8230-38cf4fa0c176\">\n\n<p>If the circle has a radius <em>r<\/em>, then area of the quadrant $= \u03c0\\text{r}\u00b2 \/ 4$<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Quarter Circle &#8211; Introduction In our everyday lives, we come across many shapes in the form of various objects, like a square table, a rectangular tray, a football in the shape of a circle, oval eggs, etc. Have you ever observed the shape of a slice of pizza when divided into 4 equal parts? It &#8230; <a title=\"Quarter Circle\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/quarter-circle\" aria-label=\"More on Quarter Circle\">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-1748","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\/1748","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=1748"}],"version-history":[{"count":22,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1748\/revisions"}],"predecessor-version":[{"id":24889,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1748\/revisions\/24889"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1748"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1748"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1748"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}