{"id":1768,"date":"2022-04-22T10:02:50","date_gmt":"2022-04-22T10:02:50","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1768"},"modified":"2023-07-13T09:02:41","modified_gmt":"2023-07-13T09:02:41","slug":"face-definition-with-examples-copy-2","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/regular-polygon","title":{"rendered":"Regular Polygon &#8211; Definition, Properties, Examples, Facts"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-d416459b-4796-4bea-8fe1-286e9b124400\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/regular-polygon#2-what-are-regular-polygons>What Are Regular Polygons?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/regular-polygon#3-properties-of-regular-polygons>Properties of Regular Polygons<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/regular-polygon#12-different-regular-polygons->Different Regular Polygons&nbsp;<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/regular-polygon#14-solved-examples-on-regular-polygon>Solved Examples on Regular Polygon<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/regular-polygon#15-practice-problems-on-regular-polygon>Practice Problems on Regular Polygon<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/regular-polygon#16-frequently-asked-questions-on-regular-polygon>Frequently Asked Questions on Regular Polygon<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-a-polygon\">What Is a Polygon?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A two-dimensional enclosed figure made by joining three or more straight lines is known as a polygon. They are also known as \u201cflat figures\u201d. Example: A square is a polygon with made by joining 4 straight lines of equal length.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"356\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-1.png\" alt=\"Examples of polygon\" class=\"wp-image-8672\" title=\"Examples of polygon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-1-300x172.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\/determine-the-perimeter-of-regular-shapes\" 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_with_missing_side_1_pt.png\" alt=\"Determine the Perimeter of Regular Shapes 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\">Determine the Perimeter of Regular Shapes 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-missing-side-of-irregular-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\/geo_meas_monsters_in_city_9_gm.png\" alt=\"Find Missing Side of Irregular 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\">Find Missing Side of Irregular 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\/find-missing-side-of-regular-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\/geo_meas_monsters_in_city_8_gm.png\" alt=\"Find Missing Side of Regular 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\">Find Missing Side of Regular 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\/find-perimeter-of-irregular-shapes\" 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_monsters_in_city_6_gm.png\" alt=\"Find Perimeter of Irregular Shapes 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 Perimeter of Irregular Shapes 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-perimeter-of-regular-shapes\" 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_monsters_in_city_7_gm.png\" alt=\"Find Perimeter of Regular Shapes 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 Perimeter of Regular Shapes 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-irregular-shapes\" 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_irregular_pt.png\" alt=\"Find the Perimeter of Irregular Shapes 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 Irregular Shapes 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-polygons\" 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_1_pt.png\" alt=\"FInd the Perimeter of Polygons 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 Polygons 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-regular-shapes\" 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_regular_pt.png\" alt=\"Find the Perimeter of Regular Shapes 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 Regular Shapes 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-polygons-and-quadrilaterals\" 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_sort_shapes_broad_cat_pt.png\" alt=\"Identify Polygons and Quadrilaterals 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 Polygons and Quadrilaterals 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-the-lines-of-symmetry-in-irregular-shapes\" 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_symm_irregular_shape_pt.png\" alt=\"Identify the LInes of Symmetry in Irregular Shapes 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 the LInes of Symmetry in Irregular Shapes 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 eplus-wrapper\" id=\"1-parts-of-a-polygon-\">Parts of a Polygon&nbsp;<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>A polygon has three parts:&nbsp;<\/strong><\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Sides<\/strong>: A line segment that joins two vertices is known as a side.<\/li>\n\n\n\n<li class=\"eplus-wrapper\"><strong>Vertices<\/strong>: The point at which two sides meet is known as a vertex.<\/li>\n\n\n\n<li class=\"eplus-wrapper\"><strong>Angles<\/strong>: interior and exterior. An interior angle is the angle formed within the enclosed surface of the polygon by joining the sides.&nbsp;&nbsp;<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"412\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-2.png\" alt=\"Parts of a polygon\" class=\"wp-image-8673\" title=\"Parts of a polygon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-2-300x199.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-what-are-regular-polygons\">What Are Regular Polygons?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>If all the polygon sides and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/interior-angles\" title=\"\">interior angles<\/a> are equal, then they are known as regular polygons.<\/strong> The examples of regular polygons are <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/square\" title=\"\">square<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/equilateral-triangle\" title=\"\">equilateral triangle<\/a>, etc. In regular polygons, not only are the sides congruent but so are the angles. That means they are <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/equiangular-triangle\" title=\"\">equiangular<\/a>.\u00a0<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"434\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-3.png\" alt=\"Regular polygon\" class=\"wp-image-8674\" title=\"Regular polygon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-3-300x210.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-properties-of-regular-polygons\">Properties of Regular Polygons<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>The properties of regular polygons are listed below:&nbsp;<\/strong><\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">All its sides are equal.&nbsp;<\/li>\n\n\n\n<li class=\"eplus-wrapper\">All its interior angles are equal.&nbsp;<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The sum of its exterior angles is 360\u00b0.&nbsp;<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-perimeter-of-a-regular-polygon\">Perimeter of a Regular Polygon<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A regular polygon has all the sides equal. And the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/perimeter-of-a-polygon\" title=\"\">perimeter of a polygon<\/a> is the sum of all the sides. So, a regular polygon with n sides has the perimeter = n times of a side measure.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example, if the side of a regular polygon is 6 cm and the number of sides are 5, perimeter = 5 \u2715 6 = 30 cm<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"461\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-4.png\" alt=\"Regular pentagon of side 6 cm\" class=\"wp-image-8675\" title=\"Regular pentagon of side 6 cm\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-4.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-4-300x223.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-sum-of-interior-angles-of-a-regular-polygon\">Sum of Interior Angles of a Regular Polygon<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Let there be a n sided regular polygon. Since, the sides of a regular polygon are equal, the sum of interior angles of a regular polygon = (n \u2212 2) \u00d7 180\u00b0<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example, the sides of a regular polygon are 6.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, the sum of interior angles of a 6 sided polygon = (n \u2212 2) \u00d7 180\u00b0 = (6 \u2212 2) \u00d7 180\u00b0&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">= 720\u00b0<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-measure-of-each-interior-angle-of-a-regular-polygon\">Measure of Each Interior Angle of a Regular Polygon<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Since a regular polygon is equiangular, the angles of n sided polygon will be of equal measure. A n sided polygon has each interior angle<\/p>\n\n\n\n<p class=\"eplus-wrapper\">= $\\frac{Sum of interior angles}{n}$$=$$\\frac{(n-2)\\times180^\\circ}{n}$&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example, let\u2019s take a regular polygon that has 8 sides.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, each interior angle = $\\frac{(8-2)\\times180^\\circ}{8} = 135^\\circ$<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"420\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-5.png\" alt=\"Angles in regular octagon\" class=\"wp-image-8676\" title=\"Angles in regular octagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-5.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-5-300x203.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-measure-of-each-exterior-angle-of-a-regular-polygon\">Measure of Each Exterior Angle of a Regular Polygon<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">There are n equal angles in a regular polygon and the sum of an exterior angles of a polygon is $360^\\circ$. So, the measure of each exterior angle of a regular polygon = $\\frac{360^\\circ}{n}$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-number-of-diagonals-of-a-regular-polygon\">Number of Diagonals of a Regular Polygon<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The number of diagonals in a polygon with n sides = $\\frac{n(n-3)}{2}$ as each vertex connects to (n &#8211; 3) vertices. And in order to avoid double counting, we divide it by two.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example, if the number of sides of a regular regular are 4, then the number of diagonals = $\\frac{4\\times1}{2}=2$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"350\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-6.png\" alt=\"Diagonals of a square\" class=\"wp-image-8677\" title=\"Diagonals of a square\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-6.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-6-300x169.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"9-number-of-triangles-of-a-regular-polygon\">Number of Triangles of a Regular Polygon<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">If the sides of a regular polygon are n, then the number of <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/triangle\" title=\"\">triangles<\/a> formed by joining the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/diagonal\" title=\"\">diagonals<\/a> from one corner of a polygon = n \u2013 2<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example, if the number of sides are 4, then the number of triangles formed will be&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">(4 \u2013 2) = 2.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"533\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-7.png\" alt=\"Number of triangles in a square\" class=\"wp-image-8679\" title=\"Number of triangles in a square\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-7.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-7-300x258.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"10-lines-of-symmetry-of-a-regular-polygon\">Lines of Symmetry of a Regular Polygon<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/line-of-symmetry\" title=\"\">line of symmetry<\/a> can be defined as the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves. Since all the sides of a regular polygon are equal, the number of lines of symmetry = number of sides = $n$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example, a square has 4 sides. So, the number of lines of symmetry = 4<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"350\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-8.png\" alt=\"Lines of symmetry in a square\" class=\"wp-image-8681\" title=\"Lines of symmetry in a square\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-8.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-8-300x169.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"11-order-of-symmetry-of-a-regular-polygon\">Order of Symmetry of a Regular Polygon<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/shape\" title=\"\">shape<\/a> has rotational symmetry when it can be rotated and still it looks the same. The order of a rotational symmetry of a regular polygon = number of sides = \u00a0$n$ . Also, the angle of rotational symmetry of a regular polygon =\u00a0 $\\frac{360^\\circ}{n}$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example, a square has 4 sides. So, the order of rotational symmetry = 4.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Angle of rotation =$\\frac{360}{4}=90^\\circ$.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">This means when we rotate the square 4 times at an angle of $90^\\circ$, we will get the same image each time.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"322\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-9.png\" alt=\"Rotational symmetries of a square\" class=\"wp-image-8682\" title=\"Rotational symmetries of a square\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-9.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-9-300x156.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"12-different-regular-polygons-\">Different Regular Polygons&nbsp;<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The following is a list of regular polygons:&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-large eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"339\" height=\"1024\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-10-339x1024.png\" alt=\"Properties of regular polygons\" class=\"wp-image-8684\" title=\"Properties of regular polygons\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-10-339x1024.png 339w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-10-99x300.png 99w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-10-509x1536.png 509w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Regular-Polygon-10.png 530w\" sizes=\"auto, (max-width: 339px) 100vw, 339px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"13-fun-fact\">Fun Fact!<\/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>A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/circle\" title=\"\">circle<\/a> is a regular <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/2-dimensional\" title=\"\">2D shape<\/a>, but it is not a polygon because it does not have any straight sides.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"14-solved-examples-on-regular-polygon\">Solved Examples on Regular Polygon<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 1: Find the number of diagonals of a regular polygon of 12 sides.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>: The number of diagonals of a n sided polygon = $n\\frac{(n-3)}{2}$$=$$12\\frac{(12-3)}{2}=54$<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 2: If each interior angle of a regular polygon is <\/strong>$120^\\circ$<strong>, what will be the number of sides?<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>: We know that each interior angle = $\\frac{(n-2)\\times180^\\circ}{n}$, where n is the number of sides.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, $120^\\circ$$=$$\\frac{(n-2)\\times180^\\circ}{n}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$120n=(n-2)$$\\times$$180$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$120n=180n-360$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$n=6$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">The number of sides = 6<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 3: Can a regular polygon have an internal angle of <\/strong>$100^\\circ$<strong> each?&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution<\/strong>: Each exterior angle = $180^\\circ &#8211; 100^\\circ = 80^\\circ$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Each exterior angles = $\\frac{360^\\circ}{n}$, where n is the number of sides. $80^\\circ$ = $\\frac{360^\\circ}{n}$$\\Rightarrow$ $n$ = 4.5, which is not possible as the number of sides can not be in decimal.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"15-practice-problems-on-regular-polygon\">Practice Problems on Regular Polygon<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Polygon - Definition With Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">What is incorrect about a regular polygon?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">All its sides are equal.<\/div><div class=\"spq_answer_block\" data-value=\"1\">It has (n - 2) triangles.<\/div><div class=\"spq_answer_block\" data-value=\"2\">It has (n - 3) lines of symmetry.<\/div><div class=\"spq_answer_block\" data-value=\"3\">Its interior angle is $\\frac{(n-2)180^\\circ}{n}$<\/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 has (n - 3) lines of symmetry.<br\/>A regular polygon has n lines of symmetry.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">What is the sum of interior angles of a regular nonagon?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">1080\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"1\">1160\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"2\">1200\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"3\">1260\u00b0<\/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: 1260\u00b0<br\/>$n=9$ in a regular nonagon. So, sum of interior angles = $(n-2)\\times180\u00b0\r\n=7\\times180\u00b0=1260\u00b0$<\/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\">If each exterior angle of a polygon is 20, then the number of sides will be____.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">18<\/div><div class=\"spq_answer_block\" data-value=\"1\">19<\/div><div class=\"spq_answer_block\" data-value=\"2\">20<\/div><div class=\"spq_answer_block\" data-value=\"3\">22<\/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: 18<br\/>Each exterior angle = 20\u00b0 . Number of sides = $\\frac{360\u00b0}{Each exterior angle}=\\frac{360\u00b0}{20}=18$. <\/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\": \"Polygon - Definition With Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Polygon\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is incorrect about a regular polygon?\",\n                    \"text\": \"What is incorrect about a regular polygon?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"A regular polygon has n lines of symmetry.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"All its sides are equal.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A regular polygon has n lines of symmetry.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"It has (n - 2) triangles.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A regular polygon has n lines of symmetry.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Its interior angle is $$\\\\frac{(n-2)180^\\\\circ}{n}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A regular polygon has n lines of symmetry.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"It has (n - 3) lines of symmetry.\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"A regular polygon has n lines of symmetry.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"A regular polygon has n lines of symmetry.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the sum of interior angles of a regular nonagon?\",\n                    \"text\": \"What is the sum of interior angles of a regular nonagon?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$n=9$$ in a regular nonagon. So, sum of interior angles = $$(n-2)\\\\times180\u00b0\r\n=7\\\\times180\u00b0=1260\u00b0$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1080\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$n=9$$ in a regular nonagon. So, sum of interior angles = $$(n-2)\\\\times180\u00b0\r\n=7\\\\times180\u00b0=1260\u00b0$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1160\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$n=9$$ in a regular nonagon. So, sum of interior angles = $$(n-2)\\\\times180\u00b0\r\n=7\\\\times180\u00b0=1260\u00b0$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1200\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$n=9$$ in a regular nonagon. So, sum of interior angles = $$(n-2)\\\\times180\u00b0\r\n=7\\\\times180\u00b0=1260\u00b0$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"1260\u00b0\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$n=9$$ in a regular nonagon. So, sum of interior angles = $$(n-2)\\\\times180\u00b0\r\n=7\\\\times180\u00b0=1260\u00b0$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$n=9$$ in a regular nonagon. So, sum of interior angles = $$(n-2)\\\\times180\u00b0\r\n=7\\\\times180\u00b0=1260\u00b0$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If each exterior angle of a polygon is 20, then the number of sides will be____.\",\n                    \"text\": \"If each exterior angle of a polygon is 20, then the number of sides will be____.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Each exterior angle = 20\u00b0 . Number of sides = $$\\\\frac{360\u00b0}{Each exterior angle}=\\\\frac{360\u00b0}{20}=18$$. \"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"19\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Each exterior angle = 20\u00b0 . Number of sides = $$\\\\frac{360\u00b0}{Each exterior angle}=\\\\frac{360\u00b0}{20}=18$$. \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"20\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Each exterior angle = 20\u00b0 . Number of sides = $$\\\\frac{360\u00b0}{Each exterior angle}=\\\\frac{360\u00b0}{20}=18$$. \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"22\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Each exterior angle = 20\u00b0 . Number of sides = $$\\\\frac{360\u00b0}{Each exterior angle}=\\\\frac{360\u00b0}{20}=18$$. \"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"18\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Each exterior angle = 20\u00b0 . Number of sides = $$\\\\frac{360\u00b0}{Each exterior angle}=\\\\frac{360\u00b0}{20}=18$$. \"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Each exterior angle = 20\u00b0 . Number of sides = $$\\\\frac{360\u00b0}{Each exterior angle}=\\\\frac{360\u00b0}{20}=18$$. \"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"16-frequently-asked-questions-on-regular-polygon\">Frequently Asked Questions on Regular Polygon<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-dc2c4d58-4f43-44f7-b657-f24c9e065e38\" 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-dc2c4d58-4f43-44f7-b657-f24c9e065e38\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-dc2c4d58-4f43-44f7-b657-f24c9e065e38\"><strong>What is the difference between a regular and an irregular polygon?<\/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-dc2c4d58-4f43-44f7-b657-f24c9e065e38\">\n\n<p>A regular polygon is a polygon that is equilateral and equiangular, such as <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/square\" title=\"\">square<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/equilateral-triangle\" title=\"\">equilateral triangle<\/a>, etc. On the other hand, an <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/irregular-polygons\" title=\"\">irregular polygon<\/a> is a polygon that does not have all sides equal or angles equal, such as a kite, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/scalene-triangle\" title=\"\">scalene triangle<\/a>, etc.<\/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-dc2c4d58-4f43-44f7-b657-f24c9e065e38\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-dc2c4d58-4f43-44f7-b657-f24c9e065e38\"><strong>Why is a rhombus not a regular polygon?<\/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-dc2c4d58-4f43-44f7-b657-f24c9e065e38\">\n\n<p>A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rhombus\" title=\"\">rhombus<\/a> is not a regular polygon because the opposite angles of a rhombus are equal and a regular polygon has all angles equal.<\/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-dc2c4d58-4f43-44f7-b657-f24c9e065e38\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-dc2c4d58-4f43-44f7-b657-f24c9e065e38\"><strong>How to find the sides of a regular polygon if each exterior angle is given?<\/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-dc2c4d58-4f43-44f7-b657-f24c9e065e38\">\n\n<p>The side of regular polygon = $\\frac{360^\\circ}{Each exterior angle}$<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What Is a Polygon? A two-dimensional enclosed figure made by joining three or more straight lines is known as a polygon. They are also known as \u201cflat figures\u201d. Example: A square is a polygon with made by joining 4 straight lines of equal length. Recommended Games Determine the Perimeter of Regular Shapes Game Play Find &#8230; <a title=\"Regular Polygon &#8211; Definition, Properties, Examples, Facts\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/regular-polygon\" aria-label=\"More on Regular Polygon &#8211; Definition, Properties, Examples, Facts\">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-1768","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\/1768","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=1768"}],"version-history":[{"count":45,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1768\/revisions"}],"predecessor-version":[{"id":31833,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1768\/revisions\/31833"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1768"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1768"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1768"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}