{"id":30499,"date":"2023-06-14T08:56:56","date_gmt":"2023-06-14T08:56:56","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=30499"},"modified":"2023-11-15T17:18:31","modified_gmt":"2023-11-15T17:18:31","slug":"360-degree-angle-definition-construction-examples-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/360-degree-angle","title":{"rendered":"360 Degree Angle: Definition, Construction, Examples, 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-a34beb92-e4bb-4ce0-b9b3-2f3d3e730021\" 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\/360-degree-angle#0-what-is-a-360-degree-angle>What Is a 360 Degree Angle?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/360-degree-angle#2-how-to-draw-a-360-degree-angle>How to Draw a 360 Degree Angle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/360-degree-angle#3-difference-between-a-360-degree-angle-and-a-zero-angle>Difference Between a 360 Degree Angle and a Zero Angle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/360-degree-angle#7-solved-examples-on-360-degree-angle>Solved Examples on 360 Degree Angle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/360-degree-angle#8-practice-problems-on-360-degree-angle>Practice Problems on 360 Degree Angle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/360-degree-angle#9-frequently-asked-questions-about-the-360-degree-angle>Frequently Asked Questions about the 360 Degree Angle<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-a-360-degree-angle\">What Is a 360 Degree Angle?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A 360 degree angle is a complete angle or a full angle. It represents a complete or full rotation and represents a circle at a given point<\/strong>. In simple words, a circle has an angle of 360 degrees around the center. To form a 360 degree angle, the initial arm takes a full rotation and comes back to its original position.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>360 degree angle names:<\/strong> Complete Angle, Full Angle, Perigon<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A 360 degree angle is<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>six times a $60^{\\circ}$ angle.<\/li>\n\n\n\n<li>four times a right angle ($90^{\\circ}$ angle).<\/li>\n\n\n\n<li>two times a straight angle ($180^{\\circ}$ angle).&nbsp;<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"425\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/360-degree-angle-in-comparison-with-60-angle-90-angle-and-a-180-angle.webp\" alt=\"360 degree angle in comparison with 60 angle, 90 angle, and a 180 angle\" class=\"wp-image-35868\" title=\"360 degree angle in comparison with 60 angle, 90 angle, and a 180 angle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/360-degree-angle-in-comparison-with-60-angle-90-angle-and-a-180-angle.webp 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/360-degree-angle-in-comparison-with-60-angle-90-angle-and-a-180-angle-300x206.webp 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\/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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-angles-by-their-types\" 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_types_of_angle_pt.png\" alt=\"Identify Angles by their Types 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 Angles by their Types 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-definition-of-a-360-degree-angle\">Definition of a 360 Degree Angle<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>A 360 degree angle is a complete angle. It is an <\/strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/interior-angles\"><strong>interior angle<\/strong><\/a><strong> measure of a <\/strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/circle\"><strong>circle<\/strong><\/a><strong> all the way around its center as it forms a circle around a point. In radians, a 360 degree angle is equivalent to <\/strong>$2\\pi$<strong> radians.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">If you rotate a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/ray\">ray<\/a> completely (counterclockwise) to reach its initial position, it forms a 360 degree angle.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"314\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/360-degree-angle-image-or-complete-angle.png\" alt=\"\" class=\"wp-image-35869\" title=\"360 degree angle image or complete angle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/360-degree-angle-image-or-complete-angle.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/360-degree-angle-image-or-complete-angle-300x152.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\/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\/rectangles-and-triangles\" 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\/rectangles-and-triangles.jpeg\" alt=\"Rectangles and Triangles 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\/separate-out-the-triangles\" 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\/separate-out-the-triangles.jpeg\" alt=\"Separate Out the Triangles 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=\"wp-block-heading\" id=\"2-how-to-draw-a-360-degree-angle\">How to Draw a 360 Degree Angle<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">There are two simple ways to draw a 360 degree angle. You can use a compass or a protractor for this. Take a look at the step-by-step guide to draw this.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Constructing a 360 Degree Angle Using a Compass<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Step 1:<\/strong> First, place the tip of the compass at any fixed point.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Step 2:<\/strong> Widen the other end at a suitable length.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Step 3: <\/strong>Keeping the tip of the compass stable at the point and keeping this fixed length, start rotating the pencil.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Step 4:<\/strong> Rotate the pencil till you reach the same point from where you began. You will have a 360 degree angle.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"497\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/360-degree-or-complete-angle-with-compass.png\" alt=\"360 degree or complete angle with compass\" class=\"wp-image-35871\" title=\"360 degree or complete angle with compass\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/360-degree-or-complete-angle-with-compass.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/360-degree-or-complete-angle-with-compass-300x240.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Constructing a 360 Degree Angle Using a Protractor (bold)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To construct a 360 degree angle with a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/protractor\">protractor<\/a>, get a 360 degree protractor that is round in shape. This protractor will have a center and you only have to trace along the circumference of the round protractor to make a 360 degree angle. Refer to the image provided below to understand this better.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"479\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/360-degree-protractor.png\" alt=\"360 degree protractor\" class=\"wp-image-35872\" title=\"360 degree protractor\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/360-degree-protractor.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/360-degree-protractor-300x232.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-difference-between-a-360-degree-angle-and-a-zero-angle\">Difference Between a 360 Degree Angle and a Zero Angle<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"286\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/zero-angle-vs-complete-angle.png\" alt=\"Zero angle vs. complete angle\" class=\"wp-image-35873\" title=\"Zero angle vs. complete angle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/zero-angle-vs-complete-angle.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/zero-angle-vs-complete-angle-300x138.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">One might get confused between the zero angle and the complete angle because of the similarity in the appearance. However, in case of the zero angle, there is no rotation involved. When the complete angle is formed, a complete rotation or a full turn is involved.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-real-life-example\">Real-life Example<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">In an <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/time\/analog-clock\">analog clock<\/a>, the angle covered by the hour hand in 12 hours is 360 degrees. Similarly, a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/time\/minute-hand\">minute hand<\/a> produces a 360 degree angle in one hour.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"351\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/360-degree-angle-in-clock.png\" alt=\"360 degree angle in clock\" class=\"wp-image-35874\" title=\"360 degree angle in clock\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/360-degree-angle-in-clock.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/360-degree-angle-in-clock-300x170.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-facts-about-360-degree-angle\">Facts about 360 Degree Angle<\/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-4fc3f8e1 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>A 360 degree angle is also known as a complete angle or a full angle or a perigon.<\/li>\n\n\n\n<li>A full angle measures $2\\pi$ radians.<\/li>\n\n\n\n<li>A 360 degree angle is four times a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-angle\">right angle<\/a> (90 degrees).<\/li>\n\n\n\n<li>A pair of angles whose sum is 360 degrees are called \u201cconjugate angles.\u201d<\/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 class=\"wp-block-paragraph\">In this article, we learned about the 360 degree angle. It is also called a complete angle, full angle and full turn. Let\u2019s solve a few examples of the topic to understand it better!<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-solved-examples-on-360-degree-angle\">Solved Examples on 360 Degree Angle<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>1. How many straight angles will make a complete angle?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A straight angle is 180 degrees.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A complete angle is 360 degrees.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">As 180 + 180 = 360, two straight angles will make a complete angle.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"530\" height=\"106\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/straight-angle-and-complete-angle.png\" alt=\"Straight angle and complete angle\" class=\"wp-image-35875\" title=\"Straight angle and complete angle\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>2. Three central angles X, Y, and Z form a circle such that m<\/strong>$\\angle X = 90^{\\circ}$, $\\angle Y = 120^{\\circ}$. <strong>What is <\/strong>m$\\angle\\text{Z}$<strong>?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We know that the angle formed at the center of a circle is 360 degrees.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">m$\\angle X + m\\;\\angle Y + m\\;\\angle Z = 360^{\\circ}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$90^{\\circ} + 120^{\\circ} + m\\; \\angle Z = 360^{\\circ}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$m\\; \\angle Z = 360^{\\circ} \\;-\\; (90^{\\circ} + 120^{\\circ})$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$m\\; \\angle Z = 150^{\\circ}$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"260\" height=\"260\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/three-central-angles-of-a-circle.png\" alt=\"Three central angles of a circle\" class=\"wp-image-35876\" title=\"Three central angles of a circle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/three-central-angles-of-a-circle.png 260w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/three-central-angles-of-a-circle-150x150.png 150w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/three-central-angles-of-a-circle-250x250.png 250w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/three-central-angles-of-a-circle-120x120.png 120w\" sizes=\"auto, (max-width: 260px) 100vw, 260px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>3. Find the value of <\/strong>$\\angle x$<strong> in the following diagram.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"248\" height=\"261\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/three-angles-forming-a-complete-angle.png\" alt=\"Three angles forming a complete angle\" class=\"wp-image-35877\" style=\"width:248px;height:261px\" title=\"Three angles forming a complete angle\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The three angles together make a complete angle.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$137^{\\circ} + 90^{\\circ} + m\\; \\angle x = 360^{\\circ}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$m\\; angle\\; x = 360^{\\circ} \\;\u2013\\; 227^{\\circ}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$m\\; \\angle\\; x = 133^{\\circ}$&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-practice-problems-on-360-degree-angle\">Practice Problems on 360 Degree Angle<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">360 Degree Angle: Definition, Construction, Examples, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">How many $5^{\\circ}$ angles make a complete angle?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">0<\/div><div class=\"spq_answer_block\" data-value=\"1\">18<\/div><div class=\"spq_answer_block\" data-value=\"2\">36<\/div><div class=\"spq_answer_block\" data-value=\"3\">72<\/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: 72<br\/>To find how many $5^{\\circ}$ angles make a complete angle we will divide $360^{\\circ}$ by $5^{\\circ}$.<br>\r\n$\\frac{360^{\\circ}}{5^{\\circ}} = 72$<br>\r\n$72 \\times 5^{\\circ} = 360^{\\circ}$<\/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 sum of all angles around a point equals<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$270^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$360^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$180^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$90^{\\circ}$<\/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: $360^{\\circ}$<br\/>The sum of all angles around a point equals $360^{\\circ}$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Find the value of $x$ if $(x+ 125)^{\\circ}$ and $(x + 150)^{\\circ}$ add up to $360^{\\circ}$.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$42.5^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$90^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$85^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$30.5^{\\circ}$<\/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: $42.5^{\\circ}$<br\/>$(x + 125)^{\\circ} + (x + 150)^{\\circ} = 360^{\\circ}$<br>\r\n$2x = 360^{\\circ} \\;-\\; 275^{\\circ}$<br>\r\n$2x = 85^{\\circ}$<br>\r\n$x = 42.5^{\\circ}$<\/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\">Which of the following is true about the complete angle?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">It is made up of four straight angles.<\/div><div class=\"spq_answer_block\" data-value=\"1\">It is made of two right angles.<\/div><div class=\"spq_answer_block\" data-value=\"2\">It is equal to $2\\pi$ radians.<\/div><div class=\"spq_answer_block\" data-value=\"3\">It is a 180 degree angle.<\/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: It is equal to $2\\pi$ radians.<br\/>A complete angle is equal to $2\\pi$ radians.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">How many right angles make a 360 degree angle?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">2<\/div><div class=\"spq_answer_block\" data-value=\"1\">3<\/div><div class=\"spq_answer_block\" data-value=\"2\">4<\/div><div class=\"spq_answer_block\" data-value=\"3\">6<\/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: 4<br\/>Four right angles make a 360 degree angle.<br>\r\n$4  90^{\\circ} = 360^{\\circ}$<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": 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$$5^{\\\\circ}$$ angles make a complete angle?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"To find how many $$5^{\\\\circ}$$ angles make a complete angle we will divide $$360^{\\\\circ}$$ by $$5^{\\\\circ}$$.<br>\r\n$$\\\\frac{360^{\\\\circ}}{5^{\\\\circ}} = 72$$<br>\r\n$$72 \\\\times 5^{\\\\circ} = 360^{\\\\circ}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To find how many $$5^{\\\\circ}$$ angles make a complete angle we will divide $$360^{\\\\circ}$$ by $$5^{\\\\circ}$$.<br>\r\n$$\\\\frac{360^{\\\\circ}}{5^{\\\\circ}} = 72$$<br>\r\n$$72 \\\\times 5^{\\\\circ} = 360^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"18\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To find how many $$5^{\\\\circ}$$ angles make a complete angle we will divide $$360^{\\\\circ}$$ by $$5^{\\\\circ}$$.<br>\r\n$$\\\\frac{360^{\\\\circ}}{5^{\\\\circ}} = 72$$<br>\r\n$$72 \\\\times 5^{\\\\circ} = 360^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"36\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"To find how many $$5^{\\\\circ}$$ angles make a complete angle we will divide $$360^{\\\\circ}$$ by $$5^{\\\\circ}$$.<br>\r\n$$\\\\frac{360^{\\\\circ}}{5^{\\\\circ}} = 72$$<br>\r\n$$72 \\\\times 5^{\\\\circ} = 360^{\\\\circ}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"72\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"To find how many $$5^{\\\\circ}$$ angles make a complete angle we will divide $$360^{\\\\circ}$$ by $$5^{\\\\circ}$$.<br>\r\n$$\\\\frac{360^{\\\\circ}}{5^{\\\\circ}} = 72$$<br>\r\n$$72 \\\\times 5^{\\\\circ} = 360^{\\\\circ}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"To find how many $$5^{\\\\circ}$$ angles make a complete angle we will divide $$360^{\\\\circ}$$ by $$5^{\\\\circ}$$.<br>\r\n$$\\\\frac{360^{\\\\circ}}{5^{\\\\circ}} = 72$$<br>\r\n$$72 \\\\times 5^{\\\\circ} = 360^{\\\\circ}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The sum of all angles around a point equals\",\n                    \"text\": \"The sum of all angles around a point equals\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The sum of all angles around a point equals $$360^{\\\\circ}$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$270^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The sum of all angles around a point equals $$360^{\\\\circ}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$180^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The sum of all angles around a point equals $$360^{\\\\circ}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$90^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The sum of all angles around a point equals $$360^{\\\\circ}$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$360^{\\\\circ}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The sum of all angles around a point equals $$360^{\\\\circ}$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The sum of all angles around a point equals $$360^{\\\\circ}$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Find the value of $$x$$ if $$(x+ 125)^{\\\\circ}$$ and $$(x + 150)^{\\\\circ}$$ add up to $$360^{\\\\circ}$$.\",\n                    \"text\": \"Find the value of $$x$$ if $$(x+ 125)^{\\\\circ}$$ and $$(x + 150)^{\\\\circ}$$ add up to $$360^{\\\\circ}$$.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$(x + 125)^{\\\\circ} + (x + 150)^{\\\\circ} = 360^{\\\\circ}$$<br>\r\n$$2x = 360^{\\\\circ} \\\\;-\\\\; 275^{\\\\circ}$$<br>\r\n$$2x = 85^{\\\\circ}$$<br>\r\n$$x = 42.5^{\\\\circ}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$90^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$(x + 125)^{\\\\circ} + (x + 150)^{\\\\circ} = 360^{\\\\circ}$$<br>\r\n$$2x = 360^{\\\\circ} \\\\;-\\\\; 275^{\\\\circ}$$<br>\r\n$$2x = 85^{\\\\circ}$$<br>\r\n$$x = 42.5^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$85^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$(x + 125)^{\\\\circ} + (x + 150)^{\\\\circ} = 360^{\\\\circ}$$<br>\r\n$$2x = 360^{\\\\circ} \\\\;-\\\\; 275^{\\\\circ}$$<br>\r\n$$2x = 85^{\\\\circ}$$<br>\r\n$$x = 42.5^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$30.5^{\\\\circ}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$(x + 125)^{\\\\circ} + (x + 150)^{\\\\circ} = 360^{\\\\circ}$$<br>\r\n$$2x = 360^{\\\\circ} \\\\;-\\\\; 275^{\\\\circ}$$<br>\r\n$$2x = 85^{\\\\circ}$$<br>\r\n$$x = 42.5^{\\\\circ}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$42.5^{\\\\circ}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$(x + 125)^{\\\\circ} + (x + 150)^{\\\\circ} = 360^{\\\\circ}$$<br>\r\n$$2x = 360^{\\\\circ} \\\\;-\\\\; 275^{\\\\circ}$$<br>\r\n$$2x = 85^{\\\\circ}$$<br>\r\n$$x = 42.5^{\\\\circ}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$(x + 125)^{\\\\circ} + (x + 150)^{\\\\circ} = 360^{\\\\circ}$$<br>\r\n$$2x = 360^{\\\\circ} \\\\;-\\\\; 275^{\\\\circ}$$<br>\r\n$$2x = 85^{\\\\circ}$$<br>\r\n$$x = 42.5^{\\\\circ}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is true about the complete angle?\",\n                    \"text\": \"Which of the following is true about the complete angle?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"A complete angle is equal to $$2\\\\pi$$ radians.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"It is made up of four straight angles.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A complete angle is equal to $$2\\\\pi$$ radians.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"It is made of two right angles.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A complete angle is equal to $$2\\\\pi$$ radians.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"It is a 180 degree angle.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A complete angle is equal to $$2\\\\pi$$ radians.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"It is equal to $$2\\\\pi$$ radians.\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"A complete angle is equal to $$2\\\\pi$$ radians.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"A complete angle is equal to $$2\\\\pi$$ radians.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"How many right angles make a 360 degree angle?\",\n                    \"text\": \"How many right angles make a 360 degree angle?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Four right angles make a 360 degree angle.<br>\r\n$$4  90^{\\\\circ} = 360^{\\\\circ}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Four right angles make a 360 degree angle.<br>\r\n$$4  90^{\\\\circ} = 360^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Four right angles make a 360 degree angle.<br>\r\n$$4  90^{\\\\circ} = 360^{\\\\circ}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Four right angles make a 360 degree angle.<br>\r\n$$4  90^{\\\\circ} = 360^{\\\\circ}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"4\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Four right angles make a 360 degree angle.<br>\r\n$$4  90^{\\\\circ} = 360^{\\\\circ}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Four right angles make a 360 degree angle.<br>\r\n$$4  90^{\\\\circ} = 360^{\\\\circ}$$\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-frequently-asked-questions-about-the-360-degree-angle\">Frequently Asked Questions about the 360 Degree Angle<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-12251672-0a6b-448f-8580-174029393572\" 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-0-12251672-0a6b-448f-8580-174029393572\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-12251672-0a6b-448f-8580-174029393572\"><strong>What is a 360 degree angle called?<\/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-0-12251672-0a6b-448f-8580-174029393572\">\n\n<p class=\"wp-block-paragraph\">A 360 degree angle is often referred to as a complete angle or a full angle or a full turn.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">360 degree angle names: Full angle, full turn, complete angle.<\/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-1-12251672-0a6b-448f-8580-174029393572\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-12251672-0a6b-448f-8580-174029393572\"><strong>How can we draw a 360 degree angle with a compass?<\/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-1-12251672-0a6b-448f-8580-174029393572\">\n\n<p class=\"wp-block-paragraph\">Simply draw a line using a ruler and place the pointed head of the compass on one end. Using a suitable radius on the compass, draw a circle around it. Once the circle is complete, you will have a 360 degree angle at the center.<\/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-2-12251672-0a6b-448f-8580-174029393572\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-12251672-0a6b-448f-8580-174029393572\"><strong>How can we identify a 360 degree 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-2-12251672-0a6b-448f-8580-174029393572\">\n\n<p class=\"wp-block-paragraph\">A 360 degree angle looks like a circle as it takes a complete or full turn around a point.<\/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-3-12251672-0a6b-448f-8580-174029393572\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-12251672-0a6b-448f-8580-174029393572\"><strong>Can we draw a 360 degree angle using a protractor?<\/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-3-12251672-0a6b-448f-8580-174029393572\">\n\n<p class=\"wp-block-paragraph\">Yes. Using a round or a circle-shaped protractor, we can draw a 360 degree angle. If we place the protractor on a flat surface and trace the edges around the protractor, we will have a 360 degree angle in the shape of a circle.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is a 360 Degree Angle? A 360 degree angle is a complete angle or a full angle. It represents a complete or full rotation and represents a circle at a given point. In simple words, a circle has an angle of 360 degrees around the center. To form a 360 degree angle, the initial &#8230; <a title=\"360 Degree Angle: Definition, Construction, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/360-degree-angle\" aria-label=\"More on 360 Degree Angle: Definition, Construction, Examples, 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-30499","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\/30499","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=30499"}],"version-history":[{"count":13,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/30499\/revisions"}],"predecessor-version":[{"id":35878,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/30499\/revisions\/35878"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=30499"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=30499"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=30499"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}