{"id":30256,"date":"2023-06-09T05:42:10","date_gmt":"2023-06-09T05:42:10","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=30256"},"modified":"2023-11-15T16:04:49","modified_gmt":"2023-11-15T16:04:49","slug":"complete-angle-definition-formation-examples-facts-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/complete-angle","title":{"rendered":"Complete Angle: Definition, Formation, Examples, Facts, FAQs"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-7a568320-a57a-4e46-b266-51a1eaf6138a\" 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\/complete-angle#0-what-is-a-complete-angle-in-math>What Is a Complete Angle in Math?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/complete-angle#2-formation-of-complete-angle>Formation of Complete Angle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/complete-angle#3-construction-of-complete-angle>Construction of Complete Angle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/complete-angle#7-solved-examples-on-complete-angle>Solved Examples on Complete Angle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/complete-angle#8-practice-problems-on-complete-angle>Practice Problems on Complete Angle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/complete-angle#9-frequently-asked-questions-about-complete-angles>Frequently Asked Questions about Complete Angles<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-a-complete-angle-in-math\">What Is a Complete Angle in Math?<\/h2>\n\n\n\n<p><strong>A complete angle is an angle that measures <\/strong>$360^{\\circ}$<strong>.<\/strong> It represents a complete turn or full rotation and thus forms a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/circle\" target=\"_blank\" rel=\"noopener\" title=\"\">circle<\/a> around a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/point\" target=\"_blank\" rel=\"noopener\" title=\"\">point<\/a>. A complete angle is also called a full angle, a round angle, or a perigon.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"650\" height=\"620\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/visual-of-a-complete-angle.gif\" alt=\"Visual of a Complete Angle\" class=\"wp-image-35763\" title=\"Visual of a Complete Angle\"\/><\/figure>\n\n\n\n<p>We know that if two rays meet at a common point (vertex), then an <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/angle\" target=\"_blank\" rel=\"noopener\" title=\"\">angle<\/a> is formed. It is measured in units like \u201c<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/degree-angle-measure\" target=\"_blank\" rel=\"noopener\" title=\"\">degrees<\/a>\u201d or \u201cradians.\u201d&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"366\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/angle-in-math.png\" alt=\"Angle in math\" class=\"wp-image-35764\" title=\"Angle in math\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/angle-in-math.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/angle-in-math-300x177.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>If the amount of turn around a point is equal to 360 degrees then the angle formed is a complete angle. Hence, a complete angle in math is a type of angle with a $360^{\\circ}$ measurement.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"415\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/complete-angle-in-math.png\" alt=\"Complete angle in math\" class=\"wp-image-35765\" title=\"Complete angle in math\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/complete-angle-in-math.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/complete-angle-in-math-300x201.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-the-angles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geo_meas_add_angles_pt.png\" alt=\"Add the Angles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add the Angles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/answer-questions-related-to-triangles\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_classify_tri_on_side_pt.png\" alt=\"Answer Questions Related to Triangles Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Answer Questions Related to Triangles Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/choose-to-complete-each-of-the-multiplication-expressions\" 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\/mult_div_pv_mult_match_3dby1d_fluently_pt.png\" alt=\"Choose to Complete each of the Multiplication Expressions Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Choose to Complete each of the Multiplication Expressions 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\/complete-addition-sentences-by-regrouping\" 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\/add_sub_pv_add_regrp_2d_2d_missing_pt.png\" alt=\"Complete Addition Sentences by Regrouping 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\">Complete Addition Sentences by Regrouping 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\/complete-addition-sentences-using-place-value\" 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\/add_sub_pv_add_regrp_2d_1d_pvc_pt.png\" alt=\"Complete Addition Sentences Using Place Value 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\">Complete Addition Sentences Using Place Value 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\/complete-bar-graphs\" 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\/data_complete_bar_grph_pt.png\" alt=\"Complete Bar Graphs 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\">Complete Bar Graphs 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\/complete-division-patterns-of-decimal-numbers\" 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\/dec_mul_div_complete_div_pattern_pt.png\" alt=\"Complete Division Patterns of Decimal Numbers 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\">Complete Division Patterns of Decimal Numbers 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\/complete-equivalent-fractions\" 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\/fractions_generate_equi_fraction_pt.png\" alt=\"Complete Equivalent Fractions 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\">Complete Equivalent Fractions 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 = 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});\n    <\/script><h2 class=\"wp-block-heading\" id=\"1-definition-of-a-complete-angle\">Definition of a Complete Angle<\/h2>\n\n\n\n<p><strong>The complete angle is the angle formed when the incident or initial ray and the final ray coincide after a complete rotation or 360 degrees rotation.&nbsp;<\/strong><\/p>\n\n\n\n<p>One 360 degrees rotation is equivalent to $2\\pi$ radians.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"397\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/complete-angle.png\" alt=\"Complete angle\" class=\"wp-image-35768\" title=\"Complete angle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/complete-angle.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/complete-angle-300x192.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\/compare-complete-the-fraction\" 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\/compare-complete-the-fraction.jpeg\" alt=\"Compare & Complete the Fraction 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\/compare-numbers-within-10-and-complete-the-sentences\" 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\/compare-numbers-within-10-and-complete-the-sentences.jpeg\" alt=\"Compare Numbers within 10 and Complete the Sentences\">\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\/compare-numbers-within-100-and-complete-the-sentences\" 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\/compare-numbers-within-100-and-complete-the-sentences.jpeg\" alt=\"Compare Numbers within 100 and Complete the Sentences\">\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\/compare-numbers-within-1000-and-complete-the-sentences\" 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\/compare-numbers-within-1000-and-complete-the-sentences.jpeg\" alt=\"Compare Numbers within 1000 and Complete the Sentences\">\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\/compare-numbers-within-20-and-complete-the-sentences\" 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\/compare-numbers-within-20-and-complete-the-sentences.jpeg\" alt=\"Compare Numbers within 20 and Complete the Sentences\">\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\/complete-addition-sentences-using-pictures\" 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\/complete-addition-sentences-using-pictures.jpeg\" alt=\"Complete Addition Sentences using Pictures 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\/complete-doubles-facts\" 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\/complete-doubles-facts.jpeg\" alt=\"Complete Doubles Facts 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\/complete-more-or-less-sentences\" 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\/complete-more-or-less-sentences.jpeg\" alt=\"Complete More or Less Sentences 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 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id=\"2-formation-of-complete-angle\">Formation of Complete Angle<\/h2>\n\n\n\n<p>A complete angle or a $360^{\\circ}$ angle is formed when a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/ray\" target=\"_blank\" rel=\"noopener\" title=\"\">ray<\/a> completes a full rotation. It is the angle made by a ray to reach its final position from its initial position in a full rotation.<\/p>\n\n\n\n<p>Let&#8217;s consider two rays, OA and OB.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"381\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/complete-angle-between-two-lines.webp\" alt=\"Complete angle between two lines\" class=\"wp-image-35769\" title=\"Complete angle between two lines\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/complete-angle-between-two-lines.webp 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/complete-angle-between-two-lines-300x184.webp 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>If OB takes a full turn and comes back to its original position, the angle between the two rays is the complete angle.&nbsp;<\/p>\n\n\n\n<p>$\\angle AOB = 360^{\\circ}$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"381\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/complete-angle-by-a-line.png\" alt=\"Complete angle by a line\" class=\"wp-image-35770\" title=\"Complete angle by a line\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/complete-angle-by-a-line.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/complete-angle-by-a-line-300x184.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>A complete angle is 6 times a $60^{\\circ}$ angle, 4 times a right angle, and 2 times a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/straight-angle\" target=\"_blank\" rel=\"noopener\" title=\"\">straight angle<\/a>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"412\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/a-complete-angle-measures-360\u00b0.png\" alt=\"A complete angle measures 360\u00b0\" class=\"wp-image-35771\" title=\"A complete angle measures 360\u00b0\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/a-complete-angle-measures-360\u00b0.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/a-complete-angle-measures-360\u00b0-300x199.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-construction-of-complete-angle\">Construction of Complete Angle<\/h2>\n\n\n\n<p>How can we draw a complete angle? We can easily construct a complete angle using a protractor or a compass.<\/p>\n\n\n\n<p><strong>Construction of a Complete Angle using a Protractor<\/strong><\/p>\n\n\n\n<p>The 360-degrees-protractor can be used to draw a complete angle easily. It is round in shape.&nbsp;<\/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\/construction-of-a-complete-angle-using-protractor.png\" alt=\"Construction of a complete angle using protractor\" class=\"wp-image-35772\" title=\"Construction of a complete angle using protractor\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/construction-of-a-complete-angle-using-protractor.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/construction-of-a-complete-angle-using-protractor-300x232.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Construction of a Complete Angle Using Compass<\/strong><\/p>\n\n\n\n<p>To draw a complete angle using a compass, first draw a ray PQ. Put the pointer of the compass on the endpoint P and take a suitable width on the compass. Put the pencil tip on the ray PQ and draw a complete circle such that it meets the initial point in the end.<\/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\/construction-of-a-complete-angle-using-compass.png\" alt=\"Construction of a complete angle using compass\" class=\"wp-image-35773\" title=\"Construction of a complete angle using compass\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/construction-of-a-complete-angle-using-compass.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/construction-of-a-complete-angle-using-compass-300x240.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-complete-angles-around-us\">Complete Angles Around Us<\/h2>\n\n\n\n<p>Let\u2019s take a look at a few examples of a complete angle in real life.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"595\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/real-life-examples-of-complete-angles.png\" alt=\"Real-life examples of complete angles\" class=\"wp-image-35774\" title=\"Real-life examples of complete angles\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/real-life-examples-of-complete-angles.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/real-life-examples-of-complete-angles-300x288.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-facts-about-complete-angles\">Facts about Complete Angles<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>Wall clocks use the concept of full angles to show time.<\/li>\n\n\n\n<li>Four right angles or two straight angles make one complete angle.<\/li>\n\n\n\n<li>\u201cAngulus\u201d is the Latin word from which the word angle is derived. It means \u2018corner.\u2019<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned about the complete angle, its real life applications, formation, and representation. Let\u2019s now look at some solved examples and do some practice problems to understand the concept better.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-solved-examples-on-complete-angle\">Solved Examples on Complete Angle<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Check whether the pair of angles given below add up to a complete angle or not.<\/strong><\/li>\n<\/ol>\n\n\n\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(i) $170^{\\circ},\\; 180^{\\circ}$ &nbsp; &nbsp; &nbsp; (ii) $115^{\\circ},\\; 244^{\\circ}$&nbsp; &nbsp; (iii)$120^{\\circ},\\; 240^{\\circ}$<\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>A complete angle is equal to $360^{\\circ}$<\/p>\n\n\n\n<p>&nbsp;(i) $170^{\\circ},\\; 180^{\\circ}$<\/p>\n\n\n\n<p>Sum of angles $= 170^{\\circ} + 180^{\\circ} = 350^{\\circ} \\neq 360^{\\circ}$<\/p>\n\n\n\n<p>Therefore, the pair $(170^{\\circ},\\; 180^{\\circ})$ does not make a complete angle.<\/p>\n\n\n\n<p>&nbsp;(ii) $115^{\\circ},\\; 244^{\\circ}$&nbsp;&nbsp;<\/p>\n\n\n\n<p>Sum of angles $= 115^{\\circ} + 244^{\\circ} = 359^{\\circ} \\neq 360$<\/p>\n\n\n\n<p>Therefore, the pair $(115^{\\circ},\\; 244^{\\circ})$&nbsp; does not make a complete angle.<\/p>\n\n\n\n<p>(iii) $120^{\\circ},\\; 240^{\\circ}$<\/p>\n\n\n\n<p>Sum of angles $= 120^{\\circ} + 240^{\\circ} = 360^{\\circ}$<\/p>\n\n\n\n<p>Therefore, the pair $(120^{\\circ},\\; 240^{\\circ})$ makes a complete angle when added.<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"2\">\n<li><strong>Jane runs around a circular park in the morning from point A to point A. What kind of angle does her path make at the center? What does the distance covered by her in 1 round around the circular park represent?<\/strong><\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"378\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/girl-running-on-a-circular-path-around-a-park.png\" alt=\"Girl running on a circular path around a park\" class=\"wp-image-35775\" title=\"Girl running on a circular path around a park\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/girl-running-on-a-circular-path-around-a-park.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/girl-running-on-a-circular-path-around-a-park-300x183.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Jane completes an entire round around a circular park from point A and ending at the same point. So, her path makes a full circle.<\/p>\n\n\n\n<p>The angle made around the center of a circle is 360 degrees.<\/p>\n\n\n\n<p>Thus, Jane\u2019s path represents a complete angle at the center.&nbsp;<\/p>\n\n\n\n<p>Also, the distance covered by her in 1 round represents the circumference of the circle.<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"3\">\n<li><strong>In the figure given below, find the relation between the angles \u201ca\u201d and \u201cb.\u201d<\/strong><\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"287\" height=\"191\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/complete-angle-example.png\" alt=\"Complete angle example\" class=\"wp-image-35776\" title=\"Complete angle example\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>As we know, the sum of angles around a point $=$ Complete angle $= 360^{\\circ}$<\/p>\n\n\n\n<p>So, $135^{\\circ} + 65^{\\circ} + a + b = 360^{\\circ}$<\/p>\n\n\n\n<p>$200^{\\circ} +&nbsp; a + b = 360^{\\circ}$<\/p>\n\n\n\n<p>$a + b = 360^{\\circ} \\;\u2013\\; 200^{\\circ}$<\/p>\n\n\n\n<p>$a + b = 160^{\\circ}<\/p>\n\n\n\n<p>Hence, the relation between \u201ca\u201d and \u201cb\u201d is $a + b = 160^{\\circ}$.<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"4\">\n<li><strong>In the figure given below, calculate the value of \u201cx.\u201d<\/strong><\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"268\" height=\"257\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/example-on-complete-angle.png\" alt=\"Example on complete angle\" class=\"wp-image-35777\" title=\"Example on complete angle\"\/><\/figure>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>As we know, the sum of angles around a point $= 360^{\\circ}$<\/p>\n\n\n\n<p>So, $108^{\\circ} + 85^{\\circ} + 60^{\\circ} + x = 360^{\\circ}$<\/p>\n\n\n\n<p>$253^{\\circ} + x = 360^{\\circ}$<\/p>\n\n\n\n<p>$y = 360^{\\circ} \\;\u2013\\; 253^{\\circ} = 107^{\\circ}$<\/p>\n\n\n\n<p>Hence, the value of x is $107^{\\circ}$.<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"5\">\n<li><strong>If three angles made at the center of a circle are <\/strong>$145^{\\circ},\\; 90^{\\circ}$,<strong> and y. Find the value of y.<\/strong><\/li>\n<\/ol>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Given angles made at the center of a circle: $145^{\\circ},\\; 90^{\\circ}$, and y.<\/p>\n\n\n\n<p>As we know, the sum of angles at a point $= 360^{\\circ}$<\/p>\n\n\n\n<p>So, $145^{\\circ} + 90^{\\circ} + y = 360^{\\circ}$<\/p>\n\n\n\n<p>$235^{\\circ} + y = 360^{\\circ}$<\/p>\n\n\n\n<p>$y = 360^{\\circ} \\;\u2013\\; 235^{\\circ} = 125^{\\circ}$<\/p>\n\n\n\n<p>Hence, the value of x is $150^{\\circ}$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-practice-problems-on-complete-angle\">Practice Problems on Complete Angle<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Complete Angle: Definition, Formation, Examples, Facts, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">The sum of all angles around a point equals _____.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$360^{\\circ}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$270^{\\circ}$<\/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=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">What is the ratio of a right angle to a complete angle?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">1 : 2<\/div><div class=\"spq_answer_block\" data-value=\"1\">1 : 3<\/div><div class=\"spq_answer_block\" data-value=\"2\">1 : 4<\/div><div class=\"spq_answer_block\" data-value=\"3\">2 : 3<\/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: 1 : 4<br\/>The ratio of a right angle to a complete angle $= 90^{\\circ} : 360^{\\circ} = 1: 4$<\/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\">A full rotation angle can be divided into how many straight angles?<\/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: 2<br\/>A straight angle measures $180^{\\circ}$. So, two straight angles add up to $360^{\\circ}$. Hence A full rotation angle can be divided into two straight angles.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">In which system is a complete angle represented as $360^{\\circ}$?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Sexagesimal system<\/div><div class=\"spq_answer_block\" data-value=\"1\">Circular system<\/div><div class=\"spq_answer_block\" data-value=\"2\">Centesimal system<\/div><div class=\"spq_answer_block\" data-value=\"3\">None of these<\/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: Sexagesimal system<br\/>In the sexagesimal system, a complete angle is represented as $360^{\\circ}$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">In radians, a complete angle is represented as _____.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\pi$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$2\\pi$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$3\\pi$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{\\pi}{2}$<\/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: $2\\pi$<br\/>In radians, a complete angle is represented as $2\\pi$.<\/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\": \"Complete Angle: Definition, Formation, Examples, Facts, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Complete Angle\"\n        },  \n        \"hasPart\": [{\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\": 1,\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\": 0,\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\": \"What is the ratio of a right angle to a complete angle?\",\n                    \"text\": \"What is the ratio of a right angle to a complete angle?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The ratio of a right angle to a complete angle $$= 90^{\\\\circ} : 360^{\\\\circ} = 1: 4$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1 : 2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The ratio of a right angle to a complete angle $$= 90^{\\\\circ} : 360^{\\\\circ} = 1: 4$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1 : 3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The ratio of a right angle to a complete angle $$= 90^{\\\\circ} : 360^{\\\\circ} = 1: 4$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2 : 3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The ratio of a right angle to a complete angle $$= 90^{\\\\circ} : 360^{\\\\circ} = 1: 4$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"1 : 4\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The ratio of a right angle to a complete angle $$= 90^{\\\\circ} : 360^{\\\\circ} = 1: 4$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The ratio of a right angle to a complete angle $$= 90^{\\\\circ} : 360^{\\\\circ} = 1: 4$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"A full rotation angle can be divided into how many straight angles?\",\n                    \"text\": \"A full rotation angle can be divided into how many straight angles?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"A straight angle measures $$180^{\\\\circ}$$. So, two straight angles add up to $$360^{\\\\circ}$$. Hence A full rotation angle can be divided into two straight angles.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A straight angle measures $$180^{\\\\circ}$$. So, two straight angles add up to $$360^{\\\\circ}$$. Hence A full rotation angle can be divided into two straight angles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A straight angle measures $$180^{\\\\circ}$$. So, two straight angles add up to $$360^{\\\\circ}$$. Hence A full rotation angle can be divided into two straight angles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A straight angle measures $$180^{\\\\circ}$$. So, two straight angles add up to $$360^{\\\\circ}$$. Hence A full rotation angle can be divided into two straight angles.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"2\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"A straight angle measures $$180^{\\\\circ}$$. So, two straight angles add up to $$360^{\\\\circ}$$. Hence A full rotation angle can be divided into two straight angles.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"A straight angle measures $$180^{\\\\circ}$$. So, two straight angles add up to $$360^{\\\\circ}$$. Hence A full rotation angle can be divided into two straight angles.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"In which system is a complete angle represented as $$360^{\\\\circ}$$?\",\n                    \"text\": \"In which system is a complete angle represented as $$360^{\\\\circ}$$?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"In the sexagesimal system, a complete angle is represented as $$360^{\\\\circ}$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Circular system\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In the sexagesimal system, a complete angle is represented as $$360^{\\\\circ}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Centesimal system\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In the sexagesimal system, a complete angle is represented as $$360^{\\\\circ}$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"None of these\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In the sexagesimal system, a complete angle is represented as $$360^{\\\\circ}$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Sexagesimal system\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"In the sexagesimal system, a complete angle is represented as $$360^{\\\\circ}$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"In the sexagesimal system, a complete angle is represented as $$360^{\\\\circ}$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"In radians, a complete angle is represented as _____.\",\n                    \"text\": \"In radians, a complete angle is represented as _____.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"In radians, a complete angle is represented as $$2\\\\pi$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\pi$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In radians, a complete angle is represented as $$2\\\\pi$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$3\\\\pi$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In radians, a complete angle is represented as $$2\\\\pi$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{\\\\pi}{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"In radians, a complete angle is represented as $$2\\\\pi$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$2\\\\pi$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"In radians, a complete angle is represented as $$2\\\\pi$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"In radians, a complete angle is represented as $$2\\\\pi$$.\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-frequently-asked-questions-about-complete-angles\">Frequently Asked Questions about Complete Angles<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-8c0bd2e3-10ff-44ce-9a47-25dc1d7fa8fe\" 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-0-8c0bd2e3-10ff-44ce-9a47-25dc1d7fa8fe\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-8c0bd2e3-10ff-44ce-9a47-25dc1d7fa8fe\"><strong>What are the types of angles?<\/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-0-8c0bd2e3-10ff-44ce-9a47-25dc1d7fa8fe\">\n\n<p>The six major <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/types-of-angles\" target=\"_blank\" rel=\"noopener\" title=\"\">types of angles<\/a>, based on <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/measurement\" target=\"_blank\" rel=\"noopener\" title=\"\">measurement<\/a>, are <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-angle\" target=\"_blank\" rel=\"noopener\" title=\"\">right angle<\/a>, straight angle, reflex angle, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/obtuse-angle\" target=\"_blank\" rel=\"noopener\" title=\"\">obtuse angle<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/acute-angle\" target=\"_blank\" rel=\"noopener\" title=\"\">acute angle<\/a>, and complete or full rotation 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-1-8c0bd2e3-10ff-44ce-9a47-25dc1d7fa8fe\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-8c0bd2e3-10ff-44ce-9a47-25dc1d7fa8fe\"><strong>How is the complete angle different from a reflex 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-1-8c0bd2e3-10ff-44ce-9a47-25dc1d7fa8fe\">\n\n<p>A complete angle is an angle that measures 360 degrees. A reflex angle, on the other hand, is an angle that is greater than 180 degrees but less than 360 degrees.<\/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-2-8c0bd2e3-10ff-44ce-9a47-25dc1d7fa8fe\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-8c0bd2e3-10ff-44ce-9a47-25dc1d7fa8fe\"><strong>What is the application of angles in math?<\/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-2-8c0bd2e3-10ff-44ce-9a47-25dc1d7fa8fe\">\n\n<p>Engineers and architects use angles for measurement, designing roads, building, etc. Carpenters use it to make equipment like chairs, sofas, tables, etc. Artists use their measurement knowledge to sketch or create art pieces.<\/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-3-8c0bd2e3-10ff-44ce-9a47-25dc1d7fa8fe\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-8c0bd2e3-10ff-44ce-9a47-25dc1d7fa8fe\"><strong>How are complete angles measured?<\/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-3-8c0bd2e3-10ff-44ce-9a47-25dc1d7fa8fe\">\n\n<p>Degrees or radians are typically used to measure angles. Any unknown angle can be measured with a protractor or a measuring tool.<\/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-4-8c0bd2e3-10ff-44ce-9a47-25dc1d7fa8fe\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-8c0bd2e3-10ff-44ce-9a47-25dc1d7fa8fe\"><strong>Is <\/strong>$180^{\\circ}$<strong> angle a complete 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-4-8c0bd2e3-10ff-44ce-9a47-25dc1d7fa8fe\">\n\n<p>No, a $180^{\\circ}$<sup> <\/sup>angle is a straight angle. A $360^{\\circ}$<sup> <\/sup>angle makes a 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-5-8c0bd2e3-10ff-44ce-9a47-25dc1d7fa8fe\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-8c0bd2e3-10ff-44ce-9a47-25dc1d7fa8fe\"><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-5-8c0bd2e3-10ff-44ce-9a47-25dc1d7fa8fe\">\n\n<p>A 360 degree angle is called a complete angle.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is a Complete Angle in Math? A complete angle is an angle that measures $360^{\\circ}$. It represents a complete turn or full rotation and thus forms a circle around a point. A complete angle is also called a full angle, a round angle, or a perigon. We know that if two rays meet at &#8230; <a title=\"Complete Angle: Definition, Formation, Examples, Facts, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/complete-angle\" aria-label=\"More on Complete Angle: Definition, Formation, Examples, Facts, FAQs\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-30256","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\/30256","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=30256"}],"version-history":[{"count":13,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/30256\/revisions"}],"predecessor-version":[{"id":35778,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/30256\/revisions\/35778"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=30256"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=30256"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=30256"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}