{"id":154038,"date":"2022-03-25T23:05:28","date_gmt":"2022-03-25T17:35:28","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/polygons-explanation-types-properties-angles-area-perimeter-and-faqs\/"},"modified":"2024-12-13T16:00:50","modified_gmt":"2024-12-13T10:30:50","slug":"polygons-explanation-types-properties-angles-area-perimeter-and-faqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/polygons\/","title":{"rendered":"Polygons &#8211; Explanation, Types, Properties, Angles, Area, Perimeter, and FAQs"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/polygons\/#Define_Polygons\" title=\"Define Polygons\">Define Polygons<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/polygons\/#Polygon_Examples\" title=\"Polygon Examples\">Polygon Examples<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/polygons\/#Three-Sided_Polygons_or_Triangles\" title=\"Three-Sided Polygons or Triangles\">Three-Sided Polygons or Triangles<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/polygons\/#Four-Sided_Polygons_or_Quadrilaterals\" title=\"Four-Sided Polygons or Quadrilaterals\">Four-Sided Polygons or Quadrilaterals<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/polygons\/#Types_of_Polygon\" title=\"Types of Polygon\">Types of Polygon<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/polygons\/#Types_of_Polygons_and_its_Properties\" title=\"Types of Polygons and its Properties\">Types of Polygons and its Properties<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/polygons\/#Properties_of_Polygons\" title=\"Properties of Polygons\">Properties of Polygons<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/polygons\/#Angles_of_Polygons\" title=\"Angles of Polygons\">Angles of Polygons<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/polygons\/#Interior_Angle_Property_of_a_Polygon\" title=\"Interior Angle Property of a Polygon\">Interior Angle Property of a Polygon<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/polygons\/#Exterior_Angle_Property_of_a_Polygon\" title=\"Exterior Angle Property of a Polygon\">Exterior Angle Property of a Polygon<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/polygons\/#Area_and_Perimeter_Formulas_of_Polygons\" title=\"Area and Perimeter Formulas of Polygons\">Area and Perimeter Formulas of Polygons<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Define_Polygons\"><\/span>Define Polygons<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A <a href=\"https:\/\/infinitylearn.com\/surge\/maths\/polygons\/\">polygon<\/a> is a closed plane figure formed by three or more line segments, called sides, that intersect at angles. The segments that connect the sides are called the polygon&#8217;s vertices.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-154037 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/polygons-explanation-types-properties-angles-area-perimeter-and-faqs.jpg\" alt=\"Polygons - Explanation, Types, Properties, Angles, Area, Perimeter, and FAQs\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/polygons-explanation-types-properties-angles-area-perimeter-and-faqs.jpg?v=1648229723 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/polygons-explanation-types-properties-angles-area-perimeter-and-faqs-300x212.jpg?v=1648229723 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Polygon_Examples\"><\/span>Polygon Examples<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A polygon is a closed figure with straight sides. A polygon has at least three sides, and the sum of the angles in a polygon is always greater than 180 degrees.<\/p>\n<p>Some common polygon shapes are squares, rectangles, triangles, and circles.<\/p>\n<p>Here are some examples of polygons:<\/p>\n<ul>\n<li>square<\/li>\n<li>rectangle<\/li>\n<li>triangle<\/li>\n<li>circle<\/li>\n<li>Polygon Examples with Sides<\/li>\n<\/ul>\n<p>There are a few different ways to define a polygon. The most basic is a closed plane figure with at least three points, called vertices, and no more than four sides. The sum of the angles in a polygon is always 180 degrees.<\/p>\n<ul>\n<li>A triangle has three sides and three angles. The sum of the angles in a triangle is always 180 degrees.<\/li>\n<li>A quadrilateral has four sides and four angles. The sum of the angles in a quadrilateral is always 360 degrees.<\/li>\n<li>A pentagon has five sides and five angles. The sum of the angles in a pentagon is always 540 degrees.<\/li>\n<li>A hexagon has six sides and six angles. The sum of the angles in a hexagon is always 720 degrees.<\/li>\n<li>A heptagon has seven sides and seven angles. The sum of the angles in a heptagon is always 900 degrees.<\/li>\n<li>An octagon has eight sides and eight angles. The sum of the angles in an octagon is always 1080 degrees.<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"Three-Sided_Polygons_or_Triangles\"><\/span>Three-Sided Polygons or Triangles<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Three-sided polygons are called triangles. The sum of the angles in a triangle is always 180 degrees.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Four-Sided_Polygons_or_Quadrilaterals\"><\/span>Four-Sided Polygons or Quadrilaterals<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>A square is a four-sided polygon with four right angles.<\/li>\n<li>A rectangle is a four-sided polygon with two pairs of parallel sides.<\/li>\n<li>A rhombus is a four-sided polygon with four equal angles.<\/li>\n<li>A parallelogram is a four-sided polygon with two pairs of parallel sides.<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"Types_of_Polygon\"><\/span>Types of Polygon<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>A polygon is a plane figure that is bounded by a finite number of straight line segments.<\/li>\n<li>A polygon is a plane figure that is bounded by a finite number of straight line segments. The segments meet at points called vertices. The points where two segments meet are called corners or angles. The number of corners is called the polygon&#8217;s degree.<\/li>\n<li>A polygon has at least three sides. A polygon with three sides is called a triangle. A polygon with four sides is called a quadrilateral. A polygon with five sides is called a pentagon. A polygon with six sides is called a hexagon. A polygon with seven sides is called a heptagon. A polygon with eight sides is called an octagon. A polygon with nine sides is called a nonagon. A polygon with ten sides is called a decagon.<\/li>\n<li>There are also polygons with more than ten sides. A polygon with eleven sides is called a undecagon. A polygon with twelve sides is called a dodecagon. A polygon with thirteen sides is called a tridecagon. A polygon with fourteen sides is called a tetradecagon. A polygon with fifteen sides is called a pentadecagon. A polygon with sixteen sides is called a hexadecagon. A polygon with seventeen sides is called a heptadecagon. A polygon with eighteen sides<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"Types_of_Polygons_and_its_Properties\"><\/span>Types of Polygons and its Properties<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are a few types of polygons that are the most common. Here is a list of them with a brief description of each:<\/p>\n<p>Triangle: A three-sided polygon.<\/p>\n<ul>\n<li>A three-sided polygon. Quadrilateral: A four-sided polygon.<\/li>\n<li>A four-sided polygon. Pentagon: A five-sided polygon.<\/li>\n<li>A five-sided polygon. Hexagon: A six-sided polygon.<\/li>\n<li>A six-sided polygon. Heptagon: A seven-sided polygon.<\/li>\n<li>A seven-sided polygon. Octagon: A eight-sided polygon.<\/li>\n<li>A eight-sided polygon. Nonagon: A nine-sided polygon.<\/li>\n<li>A nine-sided polygon. Decagon: A ten-sided polygon.<\/li>\n<li>A ten-sided polygon. Polygon: Any closed figure made of straight lines that connects a finite number of points.<\/li>\n<\/ul>\n<p>The shapes of polygons are described by their number of sides, angles, and vertices.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Properties_of_Polygons\"><\/span>Properties of Polygons<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>A polygon is a closed figure consisting of a finite number of straight line segments, called its sides, connected end to end.<\/li>\n<li>The segments joining the sides are called the angles of the polygon.<\/li>\n<li>The polygon is said to be regular if all the angles are equal and all the sides are equal.<\/li>\n<li>A polygon is said to be irregular if at least one of the angles is not equal to the others or if at least one of the sides is not equal to the others.<\/li>\n<li>The sum of the angles of a polygon is always 360\u00b0.<\/li>\n<li>The <a href=\"https:\/\/infinitylearn.com\/surge\/maths\/interior-angles-of-a-polygon\" target=\"_blank\" rel=\"noopener\">interior angles of a polygon<\/a> add up to 360\u00b0.<\/li>\n<li>A polygon is convex if it has at least one interior angle that is less than 180\u00b0.<\/li>\n<li>A polygon is concave if it has at least one interior angle that is greater than 180\u00b0.<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"Angles_of_Polygons\"><\/span>Angles of Polygons<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>The sum of the angles in a polygon is always 180\u00b0.<\/li>\n<li>The measure of each angle in a polygon is determined by its location within the polygon.<\/li>\n<li>The interior angles of a triangle add up to 180\u00b0.<\/li>\n<li>The interior angles of a quadrilateral add up to 360\u00b0.<\/li>\n<li>The exterior angles of a polygon are the angles formed by the intersection of two adjacent lines. The exterior angle of a triangle is equal to the sum of the other two exterior angles.<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"Interior_Angle_Property_of_a_Polygon\"><\/span>Interior Angle Property of a Polygon<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The interior angle property of a polygon states that the sum of the angles inside a polygon is always equal to 180 degrees.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Exterior_Angle_Property_of_a_Polygon\"><\/span>Exterior Angle Property of a Polygon<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The exterior angle of a polygon is the angle formed by two consecutive sides of the polygon.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Area_and_Perimeter_Formulas_of_Polygons\"><\/span>Area and Perimeter Formulas of Polygons<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A polygon is a closed figure with straight sides. The area of a polygon is the number of square units it takes to cover the polygon. The perimeter of a polygon is the distance around the polygon.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Define Polygons A polygon is a closed plane figure formed by three or more line segments, called sides, that intersect [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Polygons","_yoast_wpseo_title":"Polygons - Definition, Shapes, Properties, and Formula","_yoast_wpseo_metadesc":"Polygons: Closed geometric figures with straight sides, varying in shape, sides, and angles. 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