{"id":1642,"date":"2022-04-21T09:48:25","date_gmt":"2022-04-21T09:48:25","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1642"},"modified":"2023-02-20T06:09:17","modified_gmt":"2023-02-20T06:09:17","slug":"pentagon-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/pentagon","title":{"rendered":"Pentagon &#8211; Definition With 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\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%\"><div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-d26c9e1e-2ab2-420c-ac70-3a894c6f606e\" 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\/pentagon#0-what-is-a-pentagon>What is a Pentagon?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/pentagon#1-what-does-a-pentagon-look-like>What does a Pentagon look like?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/pentagon#2-parts-of-a-pentagon-shape>Parts of a Pentagon Shape<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/pentagon#3-types-of-pentagon>Types of Pentagon<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/pentagon#16-practice-problems>Practice Problems<\/a><\/li><li><a href=#17-frequently-asked-questions>Frequently Asked Questions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"0-what-is-a-pentagon\">What is a Pentagon?<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">A 2D polygon with five sides and five angles is called a pentagon.&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">&#8220;Penta&#8221; means &#8220;five&#8221;, and &#8220;gon&#8221; translates to &#8220;angles&#8221; in Greek, and hence when we combine both words &#8220;penta + gon&#8221;, we get the word &#8220;pentagon&#8221;.&nbsp;<\/p>\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\/identify-trapezoid-hexagon-and-pentagon\" 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_amusement_park_21_22_23_gm.png\" alt=\"Identify Trapezoid, Hexagon, and Pentagon 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 Trapezoid, Hexagon, and Pentagon 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-what-does-a-pentagon-look-like\">What does a Pentagon look like?<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">This is how the five sided shape looks like:&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"335\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-1.png\" alt=\"Pentagon Shape\" class=\"wp-image-7333\" title=\"Pentagon Shape\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-1-300x162.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/identify-pentagons-and-hexagons\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/identify-pentagons-and-hexagons.jpeg\" alt=\"Identify Pentagons and Hexagons Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/sorting-shapes-as-pentagons-and-hexagons\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/sorting-shapes-as-pentagons-and-hexagons.jpeg\" alt=\"Sorting Shapes as Pentagons and Hexagons Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"eplus-wrapper wp-block-heading\" id=\"2-parts-of-a-pentagon-shape\">Parts of a Pentagon Shape<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"309\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-2.png\" alt=\"Parts of a Pentagon\" class=\"wp-image-7335\" title=\"Parts of a Pentagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-2-300x150.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\"><strong>Side:<\/strong> It is one of the five line segments that form this shape. There are a total of five sides in this shape. In the image, line segment \u2018a\u2019 shows one of the 5 pentagon shape sides.<\/li>\n\n\n\n<li class=\" eplus-wrapper\"><strong>Vertex:<\/strong> It is the point where two sides of the shape meet. In simpler terms, it is also known as a corner. For example, when you look at the page of your notebook, you will find that it has four corners or four vertices that form a 90\u00b0 angle. In the above image, A,B,C D and E are the five vertices of this shape.<\/li>\n\n\n\n<li class=\" eplus-wrapper\"><strong>Diagonal:<\/strong> It is a line that connects two non-adjacent vertices. When you connect any two non-adjacent corners or vertices of a 2D figure using a straight line, that straight line is known as the diagonal. The diagonal is represented with the letter \u201cd\u201d in the image for reference.<\/li>\n\n\n\n<li class=\" eplus-wrapper\"><strong>Interior angle<\/strong>: It refers to the angle formed by two adjacent sides of the shape on the inside. When two straight lines meet or intersect, they form two types of angles in a closed 2D figure. The angle that lies within the figure is called an internal angle. Angles marked in green in the below image show interior angles.<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"327\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-3.png\" alt=\"Interior and Exterior Angles of a Pentagon\" class=\"wp-image-7336\" title=\"Interior and Exterior Angles of a Pentagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-3-300x158.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ol start=\"5\" class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\"><strong>Exterior angle<\/strong>: It refers to the angle formed by two adjacent sides of the shape on the outside. The external angle is the measure of the angle on a particular vertex but on the outside. Angles marked in blue in the above image show exterior angles.<\/li>\n<\/ol>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"3-types-of-pentagon\">Types of Pentagon<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">Pentagons can be classified into four types depending on their sides, angles, and vertices.<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">Regular<\/li>\n\n\n\n<li class=\" eplus-wrapper\">Irregular<\/li>\n\n\n\n<li class=\" eplus-wrapper\">Convex<\/li>\n\n\n\n<li class=\" eplus-wrapper\">Concave&nbsp;<\/li>\n<\/ul>\n\n\n\n<h3 class=\"eplus-wrapper wp-block-heading\" id=\"4-regular-and-irregular-pentagons\">Regular and irregular pentagons<\/h3>\n\n\n\n<p class=\" eplus-wrapper\">If all five sides are equal in length and all five angles have an equal measure, then the shape is called regular. When the side and angles are not equal, it is called irregular. To understand it better, if you look at a regular pentagon from any side, it will always look the same since it is symmetric. But, an irregular one might look different from all sides or angles since it has different side lengths and angles.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"317\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-4.png\" alt=\"Regular and Irregular Pentagon\" class=\"wp-image-7337\" title=\"Regular and Irregular Pentagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-4.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-4-300x153.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\"><br><\/p>\n\n\n\n<h3 class=\"eplus-wrapper wp-block-heading\" id=\"5-convex-and-concave-pentagons\">Convex and concave pentagons<\/h3>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"429\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-5.png\" alt=\"Convex and Concave Polygon\" class=\"wp-image-7338\" title=\"Convex and Concave Polygon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-5.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-5-300x208.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">A convex pentagon is one in which all its vertices point outwards. A concave shape refers to the one with at least one vertex pointing inward.<\/p>\n\n\n\n<p class=\" eplus-wrapper\">&nbsp;In other words, a concave pentagon will have a bowl-like shape between some sides, while a convex will not have such a shape, as all of its vertices point outwards.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"397\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-6.png\" alt=\"Convex and Concave Pentagon\" class=\"wp-image-7339\" title=\"Convex and Concave Pentagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-6.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-6-300x192.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"6-properties-of-a-pentagon-\">Properties of a Pentagon&nbsp;<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">This shape must have five sides that form a closed 2D figure. (A closed figure is one in which all of its sides meet with each other to form vertices.)<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"295\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-7.png\" alt=\"Example and Non-example of Pentagon\" class=\"wp-image-7340\" title=\"Example and Non-example of Pentagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-7.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-7-300x143.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">A pentagon shape has five diagonals connecting the five vertices to their opposite vertices.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"317\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-8.png\" alt=\"Diagonals of a Pentagon\" class=\"wp-image-7341\" title=\"Diagonals of a Pentagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-8.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-8-300x153.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">In a regular pentagon, each interior angle measures 108\u00b0, and each exterior angle measures 72\u00b0.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"311\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-9.png\" alt=\"Angles of a Regular Pentagon\" class=\"wp-image-7342\" title=\"Angles of a Regular Pentagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-9.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-9-300x150.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\">The sum of all the five interior angles in any pentagon is 540\u00b0.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"7-pentagon-examples-in-real-life\">Pentagon Examples in Real-life<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\"><strong>Football<\/strong>: A football is made up of several black and white patches of this five-sided shape.<\/li>\n\n\n\n<li class=\" eplus-wrapper\"><strong>Okra<\/strong>: The next time you eat okra, look at the interior cross-section closely as it has a pentagonal shape.<\/li>\n\n\n\n<li class=\" eplus-wrapper\"><strong>Pentagon<\/strong> <strong>building<\/strong>: The U.S. Dept. of Defense headquarters in Washington, DC, is a pentagonal-shaped building named The Pentagon.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"312\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-10.png\" alt=\"Real-life examples of Pentagon\" class=\"wp-image-7343\" title=\"Real-life examples of Pentagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-10.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-10-300x151.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"8-area-of-a-pentagon\">Area of a Pentagon<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">The area of this shape is the total space within its five sides. To find the area, we must first determine its type and the information we have about it.&nbsp;<\/p>\n\n\n\n<h3 class=\"eplus-wrapper wp-block-heading\" id=\"9-area-of-regular-pentagon-\">Area of Regular Pentagon:&nbsp;<\/h3>\n\n\n\n<p class=\" eplus-wrapper\"><strong>A regular one forms five similar triangles.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-11.png\" alt=\"Area of Regular Pentagon\" class=\"wp-image-7344\" width=\"620\" height=\"315\" title=\"Area of Regular Pentagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-11.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-11-300x152.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Area of regular pentagon = 5 \u00d7 Area of the triangle <\/strong>or<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;= 1\/2 \u00d7 Perimeter \u00d7 Apothem sq units<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">Apothem is a perpendicular line from the center of a polygon to one of its sides. It is also known as the radius of the shape.<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"10-area-of-irregular-pentagon-\">Area of Irregular Pentagon&nbsp;<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">To find the area of an irregular pentagon, divide it into smaller polygons. The sum total of all the areas of the smaller polygons gives the total area of the shape.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"400\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-12.png\" alt=\"Area of Irregular Pentagon\" class=\"wp-image-7345\" title=\"Area of Irregular Pentagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-12.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-12-300x194.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"11-the-perimeter-of-a-pentagon\">The Perimeter of a Pentagon<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">The total length of the five sides of a regular or irregular polygon is called its perimeter.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Perimeter of a pentagon = (side 1 + side 2 + side 3 + side 4 + side 5) units<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"308\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-13.png\" alt=\"Perimeter of a Pentagon\" class=\"wp-image-7346\" title=\"Perimeter of a Pentagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-13.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-13-300x149.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\" eplus-wrapper\">The perimeter of a regular five sided shape equals (5 x side) units if all the sides have the same measurement.<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"12-fun-facts\">Fun Facts<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">Did you know you can create a simple paper strip pentagon?<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Step 01<\/strong>: Get a long paper strip. You can choose your favorite color.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Step 02: <\/strong>Now, make a pretzel-like knot with the paper. Look at the image and follow the instructions.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Step 03:<\/strong> While keeping the paper flat, tighten the knot with soft hands. Be careful not to tear it.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Step 04:<\/strong> Now, if there is excess paper, fold it back or trim it off.<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Step 05:<\/strong> Voila! It is now ready. You can check if all sides are of the same length and all the angles are of the same measure.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"493\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-14.png\" alt=\"Steps to create a paper strip Pentagon\" class=\"wp-image-7347\" title=\"Steps to create a paper strip Pentagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-14.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Pentagon-14-300x239.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"13-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\" eplus-wrapper\">Pentagons are extensively used by architects and are found throughout the natural world. They are also very commonly used in fundamental geometry. To learn geometry principles in a fun and engaging way, check out <a href=\"https:\/\/www.splashlearn.com\/math\/quadrilaterals-games\">SplashLearn<\/a>&#8216;s educational games, courses, and worksheets for kids.<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"14-solved-examples\">Solved Examples<\/h2>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\"><strong>Neal measures a regular pentagon and finds that its side is 8 feet and the apothem is 6 feet long<\/strong><strong>. How will he find its area?<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">Given in question,<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Apothem = 6 feet&nbsp;<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Side = 8 feet<\/p>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Area of Regular Pentagon = \u00bd \u00d7 perimeter \u00d7 apothem<\/strong><\/p>\n\n\n\n<p class=\" eplus-wrapper\">= \u00bd \u00d7 5 \u00d7 8 \u00d7 6<\/p>\n\n\n\n<p class=\" eplus-wrapper\">= \u00bd \u00d7 240<\/p>\n\n\n\n<p class=\" eplus-wrapper\">= 120 sq feet<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Therefore, the area&nbsp; = 120 feet<sup>2<\/sup><\/p>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\"><strong>&nbsp;If a regular pentagon has the side length of 10 cm and an apothem of 5 cm, find its area.<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution: <\/strong>Given,<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Length of side = 10 cm<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Length of apothem = 5 cm<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Area of Regular Pentagon&nbsp; = \u00bd \u00d7 perimeter \u00d7 apothem<\/p>\n\n\n\n<p class=\" eplus-wrapper\">= 1\u20442 \u00d7 5 x 10 \u00d7 5<\/p>\n\n\n\n<p class=\" eplus-wrapper\">Area = 125 cm<sup>2<\/sup><\/p>\n\n\n\n<ol start=\"3\" class=\"eplus-wrapper wp-block-list\">\n<li class=\" eplus-wrapper\"><strong>If the perimeter of a regular pentagon is 200 cm, what would be the length of each side?<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\" eplus-wrapper\"><strong>Solution<\/strong>:<br>Perimeter of regular pentagon = 200 cm<br>5 \u00d7 side= 200<br>Side = 200\/5<br>Side = 40 cm<\/p>\n\n\n\n<p class=\" eplus-wrapper\">The length of each side is 40 cm.<\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"15-practice-problems\">Practice Problems<\/h2>\n\n\n\n<p class=\" eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">What is a Pentagon? - Definition, Types, Properties &\u00a0 Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">How many parallel sides can there be in a regular pentagon?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">1<\/div><div class=\"spq_answer_block\" data-value=\"1\">0<\/div><div class=\"spq_answer_block\" data-value=\"2\">5<\/div><div class=\"spq_answer_block\" data-value=\"3\">3<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 0<br\/>A regular pentagon has zero parallel sides. An irregular one can have two (one pair) or four (two pairs) parallel sides.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">The side length of a perimeter is 6 cm. What is the perimeter of the pentagon?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">30 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">33 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">36 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">40 cm<\/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: 30 cm<br\/>Perimeter of a pentagon = side length of the pentagon x 5<br>\r\nThe given side length is 6 cm.<\/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 the perimeter of a regular pentagon measures 250 cm, what would be the measure of each side?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">50 cm<\/div><div class=\"spq_answer_block\" data-value=\"1\">60 cm<\/div><div class=\"spq_answer_block\" data-value=\"2\">30 cm<\/div><div class=\"spq_answer_block\" data-value=\"3\">90 cm<\/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: 50 cm<br\/>Perimeter of regular pentagon = 250 cm<br>\r\n5 \u00d7 side= 250<br>\r\nSide = 250\/5<br>\r\nSide = 50 cm<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">How many triangles can a pentagon be divided into?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">5<\/div><div class=\"spq_answer_block\" data-value=\"1\">3<\/div><div class=\"spq_answer_block\" data-value=\"2\">4<\/div><div class=\"spq_answer_block\" data-value=\"3\">6<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 3<br\/>A pentagon can be divided into 3 triangles.<\/span><div class=\"spq_explanation_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Practice-Problems-3-3.png\"><\/div><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">If the measure of an irregular pentagon\u2019s four interior angles is 135, 78, 119, and 117\u00b0, what would be the measure of its fifth interior angle?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">90<\/div><div class=\"spq_answer_block\" data-value=\"1\">91<\/div><div class=\"spq_answer_block\" data-value=\"2\">60<\/div><div class=\"spq_answer_block\" data-value=\"3\">45<\/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: 91<br\/>Sum of all interior angles of a pentagon is 540\u00b0.<br>\r\nHence $135 + 78 + 119 + 117 + X$ = $540$ (X is the unknown angle)<br>\r\n$X$ = $540$ \u2013 $449$ = $91\u00b0$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">6<\/span><h3 class=\"sqp_question_text\">What is the area of the pentagon whose side measures 9 cm and apothem measures 10 cm?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">340 cm\u00b2<\/div><div class=\"spq_answer_block\" data-value=\"1\">225 cm\u00b2<\/div><div class=\"spq_answer_block\" data-value=\"2\">235 cm\u00b2<\/div><div class=\"spq_answer_block\" data-value=\"3\">210 cm\u00b2<\/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: 225 cm\u00b2<br\/>Perimeter of a pentagon = side length x 5<br>\r\nPerimeter = 9 x 5 = 45 cm<br>\r\nArea of pentagon = 1\/2 \u00d7 p \u00d7 a<br>\r\nArea = \u00bd x 45 x 10<br>\r\nArea = 225 cm\u00b2<\/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             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An irregular one can have two (one pair) or four (two pairs) parallel sides.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The side length of a perimeter is 6 cm. What is the perimeter of the pentagon?\",\n                    \"text\": \"The side length of a perimeter is 6 cm. What is the perimeter of the pentagon?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Perimeter of a pentagon = side length of the pentagon x 5<br>\r\nThe given side length is 6 cm.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"33 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of a pentagon = side length of the pentagon x 5<br>\r\nThe given side length is 6 cm.\"\n                                    }\n                                }, {\n                                \"@type\": 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cm.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"30 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Perimeter of a pentagon = side length of the pentagon x 5<br>\r\nThe given side length is 6 cm.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Perimeter of a pentagon = side length of the pentagon x 5<br>\r\nThe given side length is 6 cm.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n            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\"Comment\",\n                                    \"text\": \"Perimeter of regular pentagon = 250 cm<br>\r\n5 \u00d7 side= 250<br>\r\nSide = 250\/5<br>\r\nSide = 50 cm\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"30 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of regular pentagon = 250 cm<br>\r\n5 \u00d7 side= 250<br>\r\nSide = 250\/5<br>\r\nSide = 50 cm\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"90 cm\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of regular pentagon = 250 cm<br>\r\n5 \u00d7 side= 250<br>\r\nSide = 250\/5<br>\r\nSide = 50 cm\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"50 cm\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Perimeter of regular pentagon = 250 cm<br>\r\n5 \u00d7 side= 250<br>\r\nSide = 250\/5<br>\r\nSide = 50 cm\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Perimeter of regular pentagon = 250 cm<br>\r\n5 \u00d7 side= 250<br>\r\nSide = 250\/5<br>\r\nSide = 50 cm\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"How many triangles can a pentagon be divided into?\",\n                    \"text\": \"How many triangles can a pentagon be divided into?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"A pentagon can be divided into 3 triangles.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A pentagon can be divided into 3 triangles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A pentagon can be divided into 3 triangles.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A pentagon can be divided into 3 triangles.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"3\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"A pentagon can be divided into 3 triangles. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Practice-Problems-3-3.png\\\"\/>\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"A pentagon can be divided into 3 triangles. <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/Practice-Problems-3-3.png\\\"\/>\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"If the measure of an irregular pentagon\u2019s four interior angles is 135, 78, 119, and 117\u00b0, what would be the measure of its fifth interior angle?\",\n                    \"text\": \"If the measure of an irregular pentagon\u2019s four interior angles is 135, 78, 119, and 117\u00b0, what would be the measure of its fifth interior angle?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Sum of all interior angles of a pentagon is 540\u00b0.<br>\r\nHence $$135 + 78 + 119 + 117 + X$$ = $$540$$ (X is the unknown angle)<br>\r\n$$X$$ = $$540$$ \u2013 $$449$$ = $$91\u00b0$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"90\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Sum of all interior angles of a pentagon is 540\u00b0.<br>\r\nHence $$135 + 78 + 119 + 117 + X$$ = $$540$$ (X is the unknown angle)<br>\r\n$$X$$ = $$540$$ \u2013 $$449$$ = $$91\u00b0$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"60\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Sum of all interior angles of a pentagon is 540\u00b0.<br>\r\nHence $$135 + 78 + 119 + 117 + X$$ = $$540$$ (X is the unknown angle)<br>\r\n$$X$$ = $$540$$ \u2013 $$449$$ = $$91\u00b0$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"45\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Sum of all interior angles of a pentagon is 540\u00b0.<br>\r\nHence $$135 + 78 + 119 + 117 + X$$ = $$540$$ (X is the unknown angle)<br>\r\n$$X$$ = $$540$$ \u2013 $$449$$ = $$91\u00b0$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"91\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Sum of all interior angles of a pentagon is 540\u00b0.<br>\r\nHence $$135 + 78 + 119 + 117 + X$$ = $$540$$ (X is the unknown angle)<br>\r\n$$X$$ = $$540$$ \u2013 $$449$$ = $$91\u00b0$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Sum of all interior angles of a pentagon is 540\u00b0.<br>\r\nHence $$135 + 78 + 119 + 117 + X$$ = $$540$$ (X is the unknown angle)<br>\r\n$$X$$ = $$540$$ \u2013 $$449$$ = $$91\u00b0$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the area of the pentagon whose side measures 9 cm and apothem measures 10 cm?\",\n                    \"text\": \"What is the area of the pentagon whose side measures 9 cm and apothem measures 10 cm?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Perimeter of a pentagon = side length x 5<br>\r\nPerimeter = 9 x 5 = 45 cm<br>\r\nArea of pentagon = 1\/2 \u00d7 p \u00d7 a<br>\r\nArea = \u00bd x 45 x 10<br>\r\nArea = 225 cm\u00b2\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"340 cm\u00b2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of a pentagon = side length x 5<br>\r\nPerimeter = 9 x 5 = 45 cm<br>\r\nArea of pentagon = 1\/2 \u00d7 p \u00d7 a<br>\r\nArea = \u00bd x 45 x 10<br>\r\nArea = 225 cm\u00b2\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"235 cm\u00b2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of a pentagon = side length x 5<br>\r\nPerimeter = 9 x 5 = 45 cm<br>\r\nArea of pentagon = 1\/2 \u00d7 p \u00d7 a<br>\r\nArea = \u00bd x 45 x 10<br>\r\nArea = 225 cm\u00b2\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"210 cm\u00b2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Perimeter of a pentagon = side length x 5<br>\r\nPerimeter = 9 x 5 = 45 cm<br>\r\nArea of pentagon = 1\/2 \u00d7 p \u00d7 a<br>\r\nArea = \u00bd x 45 x 10<br>\r\nArea = 225 cm\u00b2\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"225 cm\u00b2\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Perimeter of a pentagon = side length x 5<br>\r\nPerimeter = 9 x 5 = 45 cm<br>\r\nArea of pentagon = 1\/2 \u00d7 p \u00d7 a<br>\r\nArea = \u00bd x 45 x 10<br>\r\nArea = 225 cm\u00b2\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Perimeter of a pentagon = side length x 5<br>\r\nPerimeter = 9 x 5 = 45 cm<br>\r\nArea of pentagon = 1\/2 \u00d7 p \u00d7 a<br>\r\nArea = \u00bd x 45 x 10<br>\r\nArea = 225 cm\u00b2\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"eplus-wrapper wp-block-heading\" id=\"16-frequently-asked-questions\">Frequently Asked Questions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-42730591-068e-4700-8e39-7b5914a279c7\" 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-0-42730591-068e-4700-8e39-7b5914a279c7\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-42730591-068e-4700-8e39-7b5914a279c7\"><strong>Is a pentagon also a parallelogram?<\/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-0-42730591-068e-4700-8e39-7b5914a279c7\">\n\n<p>No, a pentagon is a five-sided polygon, while there are only four sides in a parallelogram.<\/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-1-42730591-068e-4700-8e39-7b5914a279c7\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-42730591-068e-4700-8e39-7b5914a279c7\"><strong>How are a quadrilateral and a pentagon similar?<\/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-1-42730591-068e-4700-8e39-7b5914a279c7\">\n\n<p>A. A quadrilateral and a pentagon are closed polygons with the sum of their exterior angles as 360\u00b0.<\/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-2-42730591-068e-4700-8e39-7b5914a279c7\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-42730591-068e-4700-8e39-7b5914a279c7\"><strong>What are the three attributes of a regular pentagon?<\/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-2-42730591-068e-4700-8e39-7b5914a279c7\">\n\n<ol class=\"wp-block-list\">\n<li>All five sides must be congruent (of equal length).<\/li>\n\n\n\n<li>All five interior angles must measure 108\u00b0 each.<\/li>\n\n\n\n<li>All five exterior angles must measure 72\u00b0 each.<\/li>\n<\/ol>\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-3-42730591-068e-4700-8e39-7b5914a279c7\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-42730591-068e-4700-8e39-7b5914a279c7\"><strong>How many right angles can a pentagon 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-3-42730591-068e-4700-8e39-7b5914a279c7\">\n\n<p>A pentagon can have a maximum of three right angles. If the number of right angles is four, the last angle will have to measure 180\u00b0 for the sum of all interior angles to be 540\u00b0, which is not possible.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"157\" height=\"124\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/08\/FAQs-4.png\" alt=\"Right angles in a Pentagon\" class=\"wp-image-7355\" title=\"Right angles in a Pentagon\"\/><\/figure>\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-4-42730591-068e-4700-8e39-7b5914a279c7\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-42730591-068e-4700-8e39-7b5914a279c7\"><strong>How many acute and obtuse angles does a regular pentagon 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-4-42730591-068e-4700-8e39-7b5914a279c7\">\n\n<p>A pentagon has zero acute angles and five obtuse angles, each measuring 108\u00b0.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-5-42730591-068e-4700-8e39-7b5914a279c7\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-42730591-068e-4700-8e39-7b5914a279c7\"><strong>Can a pentagon have five unequal sides?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-5-42730591-068e-4700-8e39-7b5914a279c7\">\n\n<p>Yes, all sides and angles of an unequal pentagon can be different from each other.<\/p>\n\n<\/div><\/div>\n<\/div>\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-59b2aa91-2f7a-4f90-b7ef-fa355238c63d\" data-mobilecollapse=\"false\" data-desktopcollapse=\"false\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"true\" aria-controls=\"ub-content-toggle-panel-0-59b2aa91-2f7a-4f90-b7ef-fa355238c63d\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-59b2aa91-2f7a-4f90-b7ef-fa355238c63d\"><\/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 open\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap\" id=\"ub-content-toggle-panel-0-59b2aa91-2f7a-4f90-b7ef-fa355238c63d\"><\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What is a Pentagon? A 2D polygon with five sides and five angles is called a pentagon.&nbsp; &#8220;Penta&#8221; means &#8220;five&#8221;, and &#8220;gon&#8221; translates to &#8220;angles&#8221; in Greek, and hence when we combine both words &#8220;penta + gon&#8221;, we get the word &#8220;pentagon&#8221;.&nbsp; Recommended Games Identify Trapezoid, Hexagon, and Pentagon Game Play More Games What does &#8230; <a title=\"Pentagon &#8211; Definition With Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/pentagon\" aria-label=\"More on Pentagon &#8211; Definition With 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-1642","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\/1642","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=1642"}],"version-history":[{"count":13,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1642\/revisions"}],"predecessor-version":[{"id":24844,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1642\/revisions\/24844"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1642"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1642"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1642"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}