{"id":1732,"date":"2022-04-22T07:19:21","date_gmt":"2022-04-22T07:19:21","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1732"},"modified":"2023-03-17T08:48:11","modified_gmt":"2023-03-17T08:48:11","slug":"polygon-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polygon","title":{"rendered":"Polygon \u2013 Shape, Types, Formulas, Examples"},"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-f86e150c-7760-4488-9e75-26fb2719021c\" 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\/polygon#0-what-is-a-polygon->What is a Polygon?&nbsp;<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polygon#1-polygon-chart>Polygon Chart<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polygon#2-types-of-polygon>Types of Polygon<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polygon#3-solved-examples-on-polygon>Solved Examples on Polygon<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polygon#4-practice-problems>Practice Problems<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polygon#5-f-requently-asked-questions>Frequently Asked Questions<\/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=\"eplus-wrapper wp-block-heading\" id=\"0-what-is-a-polygon-\">What is a Polygon?&nbsp;<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">In geometry, a <strong>polygon can be defined as a flat or plane, two-dimensional\u00a0<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/closed-shape\">closed shape<\/a>\u00a0bounded with straight sides<\/strong>. It does not have\u00a0<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/curve\">curved<\/a>\u00a0sides. <strong>The <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/side\" target=\"_blank\" rel=\"noopener\" title=\"\">sides<\/a> of a polygon are also called its edges<\/strong>. The points where two sides meet are the vertices (or corners) of a polygon.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Here are a few examples of polygons.<\/strong><\/p>\n\n\n\n<figure class=\"is-style-default wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"163\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-1-01.png\" alt=\"Sides\/ edges of polygon \" class=\"wp-image-3830\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-1-01.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-1-01-300x72.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\"><br><strong>Here are a few non-examples of a polygon<\/strong><\/p>\n\n\n\n<figure class=\"is-style-default wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"327\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-2-01.png\" alt=\"non examples of polygon\" class=\"wp-image-3831\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-2-01.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-2-01-300x144.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/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\/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\/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><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"eplus-wrapper wp-block-heading\" id=\"1-polygon-chart\"><br>Polygon Chart<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">Polygons are named on the basis of the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/number\" target=\"_blank\" rel=\"noopener\" title=\"\">number<\/a> of sides it has. <strong>Polygons are generally denoted by n-gon where n represents the number of sides it has<\/strong>, For example, a five-sided polygon is named as 5-gon, a ten-sided is named as 10-gon, and so on.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">However, few polygons have some special names. The minimum number of sides a polygon can have is 3 because it needs a minimum of 3 sides to be a closed shape or else it will be open.<\/p>\n\n\n\n<figure class=\"is-style-default wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"406\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-3-01.png\" alt=\"polygon chart\" class=\"wp-image-3832\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-3-01.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-3-01-300x179.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Even though polygons with sides <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/greater-than\" target=\"_blank\" rel=\"noopener\" title=\"\">greater than<\/a> 10, also have special names, we generally denote them with n-gon as the names are complex and not easy to remember.&nbsp;<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"2-types-of-polygon\">Types of Polygon<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">The polygons can be classified on the basis of the number of sides and angles it has:<\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\"><strong>Classification on the basis of sides: Regular and Irregular Polygons:<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Regular Polygons<\/strong>&nbsp;\u2013 Polygons that have equal sides and angles are regular polygons.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example, an <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/equilateral-triangle\" target=\"_blank\" rel=\"noopener\" title=\"\">equilateral triangle<\/a> is a three-sided regular polygon. A square is a four-sided regular polygon. A Regular <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/hexagon\" target=\"_blank\" rel=\"noopener\" title=\"\">hexagon<\/a> is a six-sided regular polygon.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Here are a few examples of regular polygons.&nbsp;<\/p>\n\n\n\n<figure class=\"is-style-default wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"163\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-4-01.png\" alt=\"regular polygons\" class=\"wp-image-3833\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-4-01.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-4-01-300x72.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Irregular Polygons<\/strong>&nbsp;\u2013 Polygons with <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/unequal-parts\" target=\"_blank\" rel=\"noopener\" title=\"\">unequal<\/a> sides and angles are <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/irregular-polygons\" target=\"_blank\" rel=\"noopener\" title=\"\">irregular polygons<\/a>.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Here are a few examples of irregular polygons.&nbsp;<\/p>\n\n\n\n<figure class=\"is-style-default wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"163\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-5-01.png\" alt=\"irregular polygons\" class=\"wp-image-3834\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-5-01.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-5-01-300x72.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\"><strong>Classification on the basis of angles: Convex and Concave Polygons:<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Convex Polygons \u2013 <\/strong>A convex polygon is a polygon with all interior angles <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/counting-and-comparison\/less-than\" target=\"_blank\" rel=\"noopener\" title=\"\">less than<\/a> 180\u00b0.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">In convex polygons, all diagonals are in the interior of the polygon.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">(<em><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/diagonal\" target=\"_blank\" rel=\"noopener\" title=\"\">Diagonal<\/a> is a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/line-segment\" target=\"_blank\" rel=\"noopener\" title=\"\">line segment<\/a> joining any two non-consecutive vertices of a polygon<\/em>)<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Here are a few examples of convex polygons.<\/p>\n\n\n\n<figure class=\"is-style-default wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"163\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-6-01.png\" alt=\"convex polygons\" class=\"wp-image-3835\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-6-01.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-6-01-300x72.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\"><br><strong>Concave Polygons \u2013 <\/strong>A concave polygon is a polygon with at least one interior angle greater than 180\u00b0.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">In concave polygons, not all diagonals are in the interior of the polygon.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Here are a few examples of concave polygons.<\/p>\n\n\n\n<figure class=\"is-style-default wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"163\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-7-01.png\" alt=\"concave polygon\" class=\"wp-image-3836\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-7-01.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-7-01-300x72.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\" id=\"3-difference-between-convex-and-concave-polygon\"><br><strong>Difference between Convex and Concave Polygon<\/strong><\/p>\n\n\n\n<figure class=\"is-style-default wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"355\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-8-01.png\" alt=\"difference between convex and concave polygon\" class=\"wp-image-3837\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-8-01.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-8-01-300x157.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\"><br><strong>3. Simple and Complex Polygon:<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Simple Polygon &#8211;<\/strong> A simple polygon has only one boundary. The sides of a simple polygon do not intersect.<\/p>\n\n\n\n<figure class=\"is-style-default wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"163\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-9-01.png\" alt=\"simple polygon\" class=\"wp-image-3838\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-9-01.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-9-01-300x72.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Complex Polygon &#8211; <\/strong>Complex polygon is a polygon whose sides cross over each other one or more times.<\/p>\n\n\n\n<figure class=\"is-style-default wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"163\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-10-01.png\" alt=\"conplex polygon\" class=\"wp-image-3839\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-10-01.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-10-01-300x72.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Sum of Angles of a Polygon<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>1. Sum of the interior angles of a polygon:<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/sum\" target=\"_blank\" rel=\"noopener\" title=\"\">Sum<\/a> of the interior angles of a polygon with n sides = (n \u2013 2) \u00d7 180\u00b0<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example: Consider the following polygon with 6 sides<\/p>\n\n\n\n<figure class=\"is-style-default wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"327\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-11-01.png\" alt=\"interior angles of a polygon\" class=\"wp-image-3840\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-11-01.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-11-01-300x144.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Here, \u2220<em>a<\/em> + \u2220<em>b<\/em> + \u2220<em>c<\/em> + \u2220<em>d<\/em> + \u2220<em>e<\/em> + \u2220<em>f<\/em> = (6 \u2013 2) \u00d7 180\u00b0 = 720\u00b0&nbsp; &nbsp; &nbsp; (n = 6 as given polygon has 6 sides)<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>2. Sum of the exterior angles of polygons<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">Sum of the exterior angles of polygons = 360\u00b0<\/p>\n\n\n\n<p class=\" eplus-wrapper\">The sum will always be equal to 360 degrees, irrespective of the number of sides it has.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">For example: Consider the following polygon with 5 sides<\/p>\n\n\n\n<figure class=\"is-style-default wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"327\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-12-01.png\" alt=\"exterior angles of a polygon\" class=\"wp-image-3841\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-12-01.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/polygon-12-01-300x144.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">Here, \u2220<em>m<\/em> + \u2220<em>n<\/em> + \u2220<em>o<\/em> + \u2220<em>p<\/em> + \u2220<em>q<\/em> = 360\u00b0<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Angles in Regular Polygon<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">In a regular polygon, all its<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">sides are equal<\/li>\n\n\n\n<li class=\" eplus-wrapper\">interior angles are equal<\/li>\n\n\n\n<li class=\" eplus-wrapper\">exterior angles are equal<\/li>\n<\/ul>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Interior Angle:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">Sum of the interior angles of a polygon with n sides = (n \u2013 2) \u00d7 180\u00b0<\/p>\n\n\n\n<p class=\" eplus-wrapper\">So, each interior angles =&nbsp; (n \u2013 2) \u00d7 180n&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Exterior Angle:<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">Sum of the exterior angles of polygons = 360\u00b0<\/p>\n\n\n\n<p class=\" eplus-wrapper\">So, each exterior angle = 360\u00b0n&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Sum of Interior Angle and Exterior Angle:<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">Whether the polygon is regular or irregular, at each vertex of the polygon sum of an interior angle and exterior angle is 180\u00b0.<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"3-solved-examples-on-polygon\">Solved Examples on Polygon<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 1: Fill in the blank.<\/strong><\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">The name of the three sided regular polygon is ________________.<\/li>\n\n\n\n<li class=\" eplus-wrapper\">A regular polygon is a polygon whose all _____________ are equal and all angles are equal.<\/li>\n\n\n\n<li class=\" eplus-wrapper\">The sum of the exterior angles of a polygon is __________.<\/li>\n\n\n\n<li class=\" eplus-wrapper\">A polygon is a simple closed figure formed by only _______________.<\/li>\n<\/ol>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">equilateral triangle<\/li>\n\n\n\n<li class=\" eplus-wrapper\">sides<\/li>\n\n\n\n<li class=\" eplus-wrapper\">360\u00b0<\/li>\n\n\n\n<li class=\" eplus-wrapper\">line segments<\/li>\n<\/ol>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 2: Write the number of sides for a given polygon.<\/strong><\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\"><strong>Nonagon<\/strong><\/li>\n\n\n\n<li class=\" eplus-wrapper\"><strong>Triangle<\/strong><\/li>\n\n\n\n<li class=\" eplus-wrapper\"><strong>Pentagon<\/strong><\/li>\n\n\n\n<li class=\" eplus-wrapper\"><strong>Decagon<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">9<\/li>\n\n\n\n<li class=\" eplus-wrapper\">3<\/li>\n\n\n\n<li class=\" eplus-wrapper\">5<\/li>\n\n\n\n<li class=\" eplus-wrapper\">10<\/li>\n<\/ol>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 3:&nbsp; Find the measure of each exterior angle of a regular polygon of 20 sides.<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">The polygon has 20 sides. So, n = 20.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Sum of the exterior angles of polygons = 360\u00b0<\/p>\n\n\n\n<p class=\" eplus-wrapper\">So, each exterior angle = 360\u00b0n = 360\u00b020 = 18\u00b0<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Example 4: The sum of the interior angles of a polygon is 1620\u00b0. How many sides does it have?<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">Sum of the interior angles of a polygon with n sides = (n \u2013 2) \u00d7 180\u00b0<\/p>\n\n\n\n<p class=\" eplus-wrapper\">1620\u00b0 = (n \u2013 2) \u00d7 180\u00b0<\/p>\n\n\n\n<p class=\" eplus-wrapper\">n \u2013 2 = 1620180<\/p>\n\n\n\n<p class=\" eplus-wrapper\">n \u2013 2 = 9<\/p>\n\n\n\n<p class=\" eplus-wrapper\">n = 9 + 2<\/p>\n\n\n\n<p class=\" eplus-wrapper\">n = 11<\/p>\n\n\n\n<p class=\" eplus-wrapper\">So, the given polygon has 11 sides.<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"4-practice-problems-on-polygon\">Practice Problems on Polygon<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Polygon<\/h2><p style=\"display:none;\">Attend this Quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">What is the sum of all the angles of a heptagon?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">360\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"1\">540\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"2\">720\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"3\">900\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: 900\u00b0<br\/>Heptagon has 7 sides. So, n = 7, Sum of the angles of a polygon = (n \u2013 2) \u00d7 180\u00b0 = (7 \u2013 2) \u00d7 180\u00b0  = 5 \u00d7 180\u00b0 = 900\u00b0<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">What is the sum of the exterior angle of a pentagon?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">180\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"1\">360\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"2\">540\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"3\">720\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: 360\u00b0<br\/>The sum of exterior angles of a polygon will always be equal to 360 degrees, irrespective of the number of sides it has.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">If three angles of a quadrilateral are each equal to 55\u00b0, the quadrilateral is of type:<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Regular polygon<\/div><div class=\"spq_answer_block\" data-value=\"1\">Concave polygon<\/div><div class=\"spq_answer_block\" data-value=\"2\">Convex polygon<\/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: Concave polygon<br\/>Quadrilateral has 4 sides. So, n = 4 Sum of the angles of a polygon = (n \u2013 2) \u00d7 180\u00b0 = (4 \u2013 2) \u00d7 180\u00b0 = 2 \u00d7 180\u00b0 = 360\u00b0 55\u00b0 + 55\u00b0 + 55\u00b0 + fourth angle = 360\u00b0 Measure of fourth angle = 360\u00b0 - 165\u00b0 = 195\u00b0 So, the given quadrilateral is concave polygon as it has at least one interior angle greater than 180\u00b0.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Rhombus has all sides equal but it\u2019s all angles are not equal.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Square<\/div><div class=\"spq_answer_block\" data-value=\"1\">Equilateral triangle<\/div><div class=\"spq_answer_block\" data-value=\"2\">Rhombus<\/div><div class=\"spq_answer_block\" data-value=\"3\">Hexagon with equal sides<\/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: Rhombus<br\/>Which of the following is not a regular polygon?<\/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\",        \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 the sum of all the angles of a heptagon?\",\n                    \"text\": \"What is the sum of all the angles of a heptagon?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Heptagon has 7 sides. So, n = 7, Sum of the angles of a polygon = (n \u2013 2) \u00d7 180\u00b0 = (7 \u2013 2) \u00d7 180\u00b0  = 5 \u00d7 180\u00b0 = 900\u00b0\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"360\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Heptagon has 7 sides. So, n = 7, Sum of the angles of a polygon = (n \u2013 2) \u00d7 180\u00b0 = (7 \u2013 2) \u00d7 180\u00b0  = 5 \u00d7 180\u00b0 = 900\u00b0\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"540\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Heptagon has 7 sides. So, n = 7, Sum of the angles of a polygon = (n \u2013 2) \u00d7 180\u00b0 = (7 \u2013 2) \u00d7 180\u00b0  = 5 \u00d7 180\u00b0 = 900\u00b0\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"720\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Heptagon has 7 sides. So, n = 7, Sum of the angles of a polygon = (n \u2013 2) \u00d7 180\u00b0 = (7 \u2013 2) \u00d7 180\u00b0  = 5 \u00d7 180\u00b0 = 900\u00b0\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"900\u00b0\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Heptagon has 7 sides. So, n = 7, Sum of the angles of a polygon = (n \u2013 2) \u00d7 180\u00b0 = (7 \u2013 2) \u00d7 180\u00b0  = 5 \u00d7 180\u00b0 = 900\u00b0\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Heptagon has 7 sides. So, n = 7, Sum of the angles of a polygon = (n \u2013 2) \u00d7 180\u00b0 = (7 \u2013 2) \u00d7 180\u00b0  = 5 \u00d7 180\u00b0 = 900\u00b0\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the sum of the exterior angle of a pentagon?\",\n                    \"text\": \"What is the sum of the exterior angle of a pentagon?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The sum of exterior angles of a polygon will always be equal to 360 degrees, irrespective of the number of sides it has.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"180\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The sum of exterior angles of a polygon will always be equal to 360 degrees, irrespective of the number of sides it has.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"540\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The sum of exterior angles of a polygon will always be equal to 360 degrees, irrespective of the number of sides it has.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"720\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The sum of exterior angles of a polygon will always be equal to 360 degrees, irrespective of the number of sides it has.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"360\u00b0\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The sum of exterior angles of a polygon will always be equal to 360 degrees, irrespective of the number of sides it has.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The sum of exterior angles of a polygon will always be equal to 360 degrees, irrespective of the number of sides it has.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If three angles of a quadrilateral are each equal to 55\u00b0, the quadrilateral is of type:\",\n                    \"text\": \"If three angles of a quadrilateral are each equal to 55\u00b0, the quadrilateral is of type:\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Quadrilateral has 4 sides. So, n = 4 Sum of the angles of a polygon = (n \u2013 2) \u00d7 180\u00b0 = (4 \u2013 2) \u00d7 180\u00b0 = 2 \u00d7 180\u00b0 = 360\u00b0 55\u00b0 + 55\u00b0 + 55\u00b0 + fourth angle = 360\u00b0 Measure of fourth angle = 360\u00b0 - 165\u00b0 = 195\u00b0 So, the given quadrilateral is concave polygon as it has at least one interior angle greater than 180\u00b0.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Regular polygon\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Quadrilateral has 4 sides. So, n = 4 Sum of the angles of a polygon = (n \u2013 2) \u00d7 180\u00b0 = (4 \u2013 2) \u00d7 180\u00b0 = 2 \u00d7 180\u00b0 = 360\u00b0 55\u00b0 + 55\u00b0 + 55\u00b0 + fourth angle = 360\u00b0 Measure of fourth angle = 360\u00b0 - 165\u00b0 = 195\u00b0 So, the given quadrilateral is concave polygon as it has at least one interior angle greater than 180\u00b0.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Convex polygon\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Quadrilateral has 4 sides. So, n = 4 Sum of the angles of a polygon = (n \u2013 2) \u00d7 180\u00b0 = (4 \u2013 2) \u00d7 180\u00b0 = 2 \u00d7 180\u00b0 = 360\u00b0 55\u00b0 + 55\u00b0 + 55\u00b0 + fourth angle = 360\u00b0 Measure of fourth angle = 360\u00b0 - 165\u00b0 = 195\u00b0 So, the given quadrilateral is concave polygon as it has at least one interior angle greater than 180\u00b0.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Concave polygon\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Quadrilateral has 4 sides. So, n = 4 Sum of the angles of a polygon = (n \u2013 2) \u00d7 180\u00b0 = (4 \u2013 2) \u00d7 180\u00b0 = 2 \u00d7 180\u00b0 = 360\u00b0 55\u00b0 + 55\u00b0 + 55\u00b0 + fourth angle = 360\u00b0 Measure of fourth angle = 360\u00b0 - 165\u00b0 = 195\u00b0 So, the given quadrilateral is concave polygon as it has at least one interior angle greater than 180\u00b0.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Quadrilateral has 4 sides. So, n = 4 Sum of the angles of a polygon = (n \u2013 2) \u00d7 180\u00b0 = (4 \u2013 2) \u00d7 180\u00b0 = 2 \u00d7 180\u00b0 = 360\u00b0 55\u00b0 + 55\u00b0 + 55\u00b0 + fourth angle = 360\u00b0 Measure of fourth angle = 360\u00b0 - 165\u00b0 = 195\u00b0 So, the given quadrilateral is concave polygon as it has at least one interior angle greater than 180\u00b0.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Rhombus has all sides equal but it\u2019s all angles are not equal.\",\n                    \"text\": \"Rhombus has all sides equal but it\u2019s all angles are not equal.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Which of the following is not a regular polygon?\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Square\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Rhombus has all sides equal but it\u2019s all angles are not equal.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Equilateral triangle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Rhombus has all sides equal but it\u2019s all angles are not equal.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Hexagon with equal sides\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Rhombus has all sides equal but it\u2019s all angles are not equal.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Rhombus\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Rhombus has all sides equal but it\u2019s all angles are not equal.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Rhombus has all sides equal but it\u2019s all angles are not equal.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"5-f-requently-asked-questions-on-polygon\"><strong>F<\/strong>requently Asked Questions on Polygon<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-01119017-dcf7-4166-99f9-17871464a526\" 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-0-01119017-dcf7-4166-99f9-17871464a526\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-01119017-dcf7-4166-99f9-17871464a526\"><strong>What is the diagonal of a 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-0-01119017-dcf7-4166-99f9-17871464a526\">\n\n<p class=\" eplus-wrapper\">A diagonal of a polygon is a line segment connecting two non-consecutive vertices (corners).<\/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-1-01119017-dcf7-4166-99f9-17871464a526\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-01119017-dcf7-4166-99f9-17871464a526\"><strong>What are the properties of regular polygons?<\/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-1-01119017-dcf7-4166-99f9-17871464a526\">\n\n<p class=\" eplus-wrapper\">A Regular polygon has all sides of equal length and each angle also measures 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-2-01119017-dcf7-4166-99f9-17871464a526\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-01119017-dcf7-4166-99f9-17871464a526\"><strong>Is a circle a 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-2-01119017-dcf7-4166-99f9-17871464a526\">\n\n<p class=\" eplus-wrapper\">Polygon is a closed shape made up of straight-line segments. The <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/circle\" target=\"_blank\" rel=\"noopener\" title=\"\">circle<\/a> is a closed figure but it is made of a curve. So, a circle is not a polygon.<\/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-3-01119017-dcf7-4166-99f9-17871464a526\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-01119017-dcf7-4166-99f9-17871464a526\"><strong>What is the minimum number of sides a polygon must-have?<\/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-3-01119017-dcf7-4166-99f9-17871464a526\">\n\n<p class=\" eplus-wrapper\">A polygon must have a minimum of three sides.<\/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-4-01119017-dcf7-4166-99f9-17871464a526\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-01119017-dcf7-4166-99f9-17871464a526\"><strong>Can a number of angles and the number of sides for a polygon be different?<\/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-4-01119017-dcf7-4166-99f9-17871464a526\">\n\n<p class=\" eplus-wrapper\">No, polygons have the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/counting-and-comparison\/same-number\" target=\"_blank\" rel=\"noopener\" title=\"\">same number<\/a> of sides and angles because they are closed figures with non-<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/intersecting-lines\" target=\"_blank\" rel=\"noopener\" title=\"\">intersecting lines<\/a>.<\/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?&nbsp; In geometry, a polygon can be defined as a flat or plane, two-dimensional\u00a0closed shape\u00a0bounded with straight sides. It does not have\u00a0curved\u00a0sides. The sides of a polygon are also called its edges. The points where two sides meet are the vertices (or corners) of a polygon. Here are a few examples of &#8230; <a title=\"Polygon \u2013 Shape, Types, Formulas, Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polygon\" aria-label=\"More on Polygon \u2013 Shape, Types, Formulas, Examples\">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-1732","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\/1732","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=1732"}],"version-history":[{"count":13,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1732\/revisions"}],"predecessor-version":[{"id":26443,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1732\/revisions\/26443"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1732"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1732"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1732"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}