{"id":155028,"date":"2022-03-26T00:11:26","date_gmt":"2022-03-25T18:41:26","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/diagonals-definition-example-problems-and-faqs\/"},"modified":"2025-06-23T16:59:52","modified_gmt":"2025-06-23T11:29:52","slug":"diagonals-definition-example-problems-and-faqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/diagonals\/","title":{"rendered":"Diagonals"},"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\/diagonals\/#Diagonal_Definition\" title=\"Diagonal Definition\">Diagonal Definition<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonals\/#Examples_of_Diagonals\" title=\"Examples of Diagonals\">Examples of Diagonals<\/a><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonals\/#Diagonals_in_a_Triangle\" title=\"Diagonals in a Triangle\">Diagonals in a Triangle<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonals\/#Diagonals_in_a_Quadrilateral\" title=\"Diagonals in a Quadrilateral\">Diagonals in a Quadrilateral<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonals\/#Applications_of_Diagonals\" title=\"Applications of Diagonals\">Applications of Diagonals<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonals\/#Diagonals_Formulas\" title=\"Diagonals Formulas\">Diagonals Formulas<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonals\/#General_Examples\" title=\"General Examples\">General Examples<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonals\/#Diagonals_of_Shapes\" title=\"Diagonals of Shapes\">Diagonals of Shapes<\/a><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonals\/#1_Diagonals_of_a_Triangle\" title=\"1. Diagonals of a Triangle\">1. Diagonals of a Triangle<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonals\/#2_Diagonals_of_a_Square\" title=\"2. Diagonals of a Square\">2. Diagonals of a Square<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonals\/#3_Diagonals_of_a_Rectangle\" title=\"3. Diagonals of a Rectangle\">3. Diagonals of a Rectangle<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonals\/#4_Diagonals_of_a_Rhombus\" title=\"4. Diagonals of a Rhombus\">4. Diagonals of a Rhombus<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonals\/#5_Diagonals_of_a_Parallelogram\" title=\"5. Diagonals of a Parallelogram\">5. Diagonals of a Parallelogram<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonals\/#6_Diagonals_of_a_Pentagon\" title=\"6. Diagonals of a Pentagon\">6. Diagonals of a Pentagon<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonals\/#7_Diagonals_of_a_Hexagon\" title=\"7. Diagonals of a Hexagon\">7. Diagonals of a Hexagon<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonals\/#8_Diagonals_of_a_Cube\" title=\"8. Diagonals of a Cube\">8. Diagonals of a Cube<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonals\/#9_Diagonals_of_a_Cuboid\" title=\"9. Diagonals of a Cuboid\">9. Diagonals of a Cuboid<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonals\/#Number_of_Diagonals_in_Polygons\" title=\"Number of Diagonals in Polygons\">Number of Diagonals in Polygons<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonals\/#FAQs_on_Diagonals\" title=\"FAQs on Diagonals\">FAQs on Diagonals<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonals\/#What_is_a_diagonal\" title=\"What is a diagonal?\">What is a diagonal?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-21\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonals\/#How_many_diagonals_does_a_heptagon_have\" title=\"How many diagonals does a heptagon have?\">How many diagonals does a heptagon have?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-22\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonals\/#Does_a_circle_have_a_diagonal\" title=\"Does a circle have a diagonal?\">Does a circle have a diagonal?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>A diagonal is an important concept in geometry. A diagonal is a line segment connecting two non-adjacent vertices of a polygon. Diagonals help in dividing polygons into smaller triangles, calculating areas, and understanding the internal structure of shapes. This article will discuss the diagonal, its meaning and more.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Diagonal_Definition\"><\/span>Diagonal Definition<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A diagonal is a line segment that connects any two non-adjacent vertices of a <a href=\"https:\/\/infinitylearn.com\/surge\/maths\/polygons\/\"><strong>polygon<\/strong><\/a>. It is different from the sides of the polygon because sides always connect adjacent vertices. To draw a diagonal, pick any vertex of the polygon and connect it to another vertex that is not directly adjacent to it. This will form a diagonal.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-731172\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/diagonal.png\" alt=\"diagonal\" width=\"348\" height=\"269\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/diagonal.png 348w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/diagonal-300x232.png 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/diagonal-150x116.png 150w\" sizes=\"(max-width: 348px) 100vw, 348px\" \/><\/p>\n<p>Here, ABDC is a polygon and BC is a diagonal of the given polygon.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Examples_of_Diagonals\"><\/span>Examples of Diagonals<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Below given are a few examples of diagonals.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"Diagonals_in_a_Triangle\"><\/span>Diagonals in a Triangle<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>A <strong>triangle<\/strong> has no diagonals because every vertex is connected to the other two vertices by sides.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"Diagonals_in_a_Quadrilateral\"><\/span>Diagonals in a Quadrilateral<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>A quadrilateral, like a <a href=\"https:\/\/infinitylearn.com\/surge\/maths\/square\/\"><strong>square<\/strong><\/a> or <strong>rectangle<\/strong>, has two diagonals. These diagonals can divide the shape into four right triangles or two congruent triangles.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-731173\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Diagonals-in-a-Quadrilateral.png\" alt=\"Diagonals in a Quadrilateral\" width=\"422\" height=\"308\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Diagonals-in-a-Quadrilateral.png 422w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Diagonals-in-a-Quadrilateral-300x219.png 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Diagonals-in-a-Quadrilateral-150x109.png 150w\" sizes=\"(max-width: 422px) 100vw, 422px\" \/><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Applications_of_Diagonals\"><\/span>Applications of Diagonals<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Below given are a few applications of diagonals.<\/p>\n<ul>\n<li>Diagonals are used in dividing polygons into smaller, manageable shapes, making it easier to calculate areas and understand the internal angles.<\/li>\n<li>Diagonals are also used in architectures. It helps in designing stable structures, such as beams in buildings, where the diagonal supports help distribute weight.<\/li>\n<li>Diagonals are used in perspective drawing to create depth and dimension.<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"Diagonals_Formulas\"><\/span>Diagonals Formulas<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>To find the number of diagonals in a polygon, we can use the below given formula.<\/p>\n<p>Number of diagonals = n(n-3)\/2<\/p>\n<p>where n represents the number of vertices (or sides) of the polygon.<\/p>\n<p><strong>For Example: Calculating Diagonals of a Square<\/strong><\/p>\n<p>To calculate the number of diagoals of square, which has 4 vertices, we use n = 4 in the above-mentioned formula.<\/p>\n<p>Therefore,<\/p>\n<p>Number of diagonals = 4 (4 &#8211; 3)\/2<\/p>\n<p>Number of diagonals = 4 (1)\/2<\/p>\n<p>Number of diagonals = 2<\/p>\n<p>Therefore, the number of diagonals of the square is equal to 2.<\/p>\n<p>So, the square has 2 diagonals.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"General_Examples\"><\/span>General Examples<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>This formula can be applied to any polygon to find the number of diagonals. For example:<\/p>\n<ul>\n<li>A triangle has no diagonals.<\/li>\n<li>A pentagon has 5 diagonals.<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"Diagonals_of_Shapes\"><\/span>Diagonals of Shapes<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Diagonals play an important role in the geometry of different shapes. Below discussed are the diagonals of various common shapes.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"1_Diagonals_of_a_Triangle\"><\/span>1. Diagonals of a Triangle<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>A triangle is a polygon which has three sides and three vertices. A diagonal is defined as a line segment connecting two non-adjacent vertices, and a triangle has no such non-adjacent vertices. Therefore, a triangle does not have any diagonals.<\/p>\n<p><strong>Number of Diagonals in a Triangle: 0<\/strong><\/p>\n<h4><span class=\"ez-toc-section\" id=\"2_Diagonals_of_a_Square\"><\/span>2. Diagonals of a Square<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>A square has four sides and four vertices. The diagonals of a square connect opposite vertices and have several important properties:<\/p>\n<ul>\n<li>A square has 2 diagonals.<\/li>\n<li>The diagonals are congruent. It means that both the diagonals are equal in length.<\/li>\n<li>The diagonals bisect each other at <a href=\"https:\/\/infinitylearn.com\/surge\/a-pentagon-is-a-five-sided-polygon.-the-word-pentagon-comes-from-the-greek-word-pentagonon-meaning-five-cornered.-the-pentagon-is-the-simplest-polygon-that-can-be-constructed-by-connecting-five-points-with-straight-lines.-the-pentagon-is-also-the-only-regular-polygon-that-has-five-sides.\/right-angle\/\"><strong>right angles<\/strong><\/a> (90 degrees).<\/li>\n<li>Each diagonal divides the square into two congruent isosceles and right triangles.<\/li>\n<\/ul>\n<h4><span class=\"ez-toc-section\" id=\"3_Diagonals_of_a_Rectangle\"><\/span>3. Diagonals of a Rectangle<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Similar to a square, a rectangle has four sides and four vertices. The diagonals of a rectangle also connect opposite vertices and share similar properties with those of a square:<\/p>\n<ul>\n<li>A rectangle has 2 diagonals.<\/li>\n<li>The diagonals are congruent.<\/li>\n<li>The diagonals of a rectangle bisect each other. They divide the rectangle into two congruent right triangles.<\/li>\n<\/ul>\n<h4><span class=\"ez-toc-section\" id=\"4_Diagonals_of_a_Rhombus\"><\/span>4. Diagonals of a Rhombus<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>A rhombus is a four-sided polygon (quadrilateral) where all sides have equal length. The diagonals of a rhombus have unique properties:<\/p>\n<ul>\n<li>A <a href=\"https:\/\/infinitylearn.com\/surge\/maths\/rhombus\/\"><strong>rhombus<\/strong><\/a> has 2 diagonals.<\/li>\n<li>The diagonals bisect each other at right angles.<\/li>\n<li>The diagonals are not congruent, unlike in a square or rectangle.<\/li>\n<li>The diagonals divide the rhombus into four right triangles.<\/li>\n<\/ul>\n<h4><span class=\"ez-toc-section\" id=\"5_Diagonals_of_a_Parallelogram\"><\/span>5. Diagonals of a Parallelogram<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>A parallelogram is a polygon with four sides. All the opposite sides of a parallelogram are parallel and equal in length. The diagonals of a parallelogram also have distinct properties:<\/p>\n<ul>\n<li>A parallelogram has 2 diagonals.<\/li>\n<li>The diagonals bisect each other but are not necessarily congruent.<\/li>\n<li>They divide the <a href=\"https:\/\/infinitylearn.com\/surge\/maths\/parallelogram\/\"><strong>parallelogram<\/strong><\/a> into two congruent triangles.<\/li>\n<\/ul>\n<h4><span class=\"ez-toc-section\" id=\"6_Diagonals_of_a_Pentagon\"><\/span>6. Diagonals of a Pentagon<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>A pentagon is a polygon with five vertices and five sides. Below given are the properties of the diagonals of a pentagon.<\/p>\n<ul>\n<li>A <a href=\"https:\/\/infinitylearn.com\/surge\/maths\/pentagon\/\"><strong>pentagon<\/strong><\/a> has 5 diagonals.<\/li>\n<li>These diagonals connect non-adjacent vertices, creating various internal shapes within the pentagon.<\/li>\n<\/ul>\n<h4><span class=\"ez-toc-section\" id=\"7_Diagonals_of_a_Hexagon\"><\/span>7. Diagonals of a Hexagon<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>A<a href=\"https:\/\/infinitylearn.com\/surge\/formulas\/hexagon-formula\/\"><strong> hexagon<\/strong><\/a> is a six-sided polygon with six vertices. The number of diagonals in a hexagon increases as the number of sides increases.<\/p>\n<ul>\n<li>A hexagon has 9 diagonals.<\/li>\n<li>These diagonals connect non-adjacent vertices, forming various internal triangles and other polygons.<\/li>\n<\/ul>\n<h4><span class=\"ez-toc-section\" id=\"8_Diagonals_of_a_Cube\"><\/span>8. Diagonals of a Cube<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>A <a href=\"https:\/\/infinitylearn.com\/surge\/maths\/cube\/\"><strong>cube<\/strong><\/a> is a three-dimensional shape with six square faces, eight vertices, and twelve edges. Diagonals in a cube are categorized as face diagonals and space diagonals:<\/p>\n<ol>\n<li>Face Diagonals: Each square face of the cube has 2 diagonals.<\/li>\n<li>Space Diagonals: A space diagonal passes through the interior of the cube, connecting opposite vertices. A cube has 4 space diagonals.<\/li>\n<\/ol>\n<h4><span class=\"ez-toc-section\" id=\"9_Diagonals_of_a_Cuboid\"><\/span>9. Diagonals of a Cuboid<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>A <strong>cuboid<\/strong> is a three-dimensional shape with rectangular faces. It has face diagonals and space diagonals similar to a cube.<\/p>\n<ul>\n<li>Face Diagonals: Each rectangular face of the cuboid has 2 diagonals.<\/li>\n<li>Space Diagonals: There are 4 space diagonals connecting opposite vertices.<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"Number_of_Diagonals_in_Polygons\"><\/span>Number of Diagonals in Polygons<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>We know that the formula to calculate the number of diagonals in a polygon is given by:<\/p>\n<p>Number of diagonals = n (n &#8211; 3)\/2<\/p>\n<p>where n is the number of vertices in the polygon.<\/p>\n<p>Below given table gives us the data for different shapes.<\/p>\n<div class=\"table-responsive\">\n<table class=\"table table-bordered table-striped\" cellspacing=\"0\" cellpadding=\"5\">\n<tbody>\n<tr style=\"background-color: #89cff0; color: black;\">\n<td><strong>Polygon<\/strong><\/td>\n<td><strong>Number of Vertices (n)<\/strong><\/td>\n<td><strong>Calculation<\/strong><\/td>\n<td><strong>Number of Diagonals<\/strong><\/td>\n<\/tr>\n<tr>\n<td>Triangle<\/td>\n<td>3<\/td>\n<td>3 (3 &#8211; 3)\/2<\/td>\n<td>0<\/td>\n<\/tr>\n<tr>\n<td>Quadrilateral<\/td>\n<td>4<\/td>\n<td>4 (4 &#8211; 3)\/2<\/td>\n<td>2<\/td>\n<\/tr>\n<tr>\n<td>Pentagon<\/td>\n<td>5<\/td>\n<td>5 (5 &#8211; 3)\/2<\/td>\n<td>5<\/td>\n<\/tr>\n<tr>\n<td>Hexagon<\/td>\n<td>6<\/td>\n<td>6 (6 &#8211; 3)\/2<\/td>\n<td>9<\/td>\n<\/tr>\n<tr>\n<td>Heptagon<\/td>\n<td>7<\/td>\n<td>7 (7 &#8211; 3)\/2<\/td>\n<td>14<\/td>\n<\/tr>\n<tr>\n<td>Octagon<\/td>\n<td>8<\/td>\n<td>8 (8 &#8211; 3)\/2<\/td>\n<td>20<\/td>\n<\/tr>\n<tr>\n<td>Nonagon<\/td>\n<td>9<\/td>\n<td>9 (9 &#8211; 3)\/2<\/td>\n<td>27<\/td>\n<\/tr>\n<tr>\n<td>Decagon<\/td>\n<td>10<\/td>\n<td>10 (10 &#8211; 3)\/2<\/td>\n<td>35<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"FAQs_on_Diagonals\"><\/span>FAQs on Diagonals<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_a_diagonal\"><\/span>What is a diagonal?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tA diagonal is a straight line that connects two non-adjacent vertices (corners) of a polygon, cutting across the shape.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"How_many_diagonals_does_a_heptagon_have\"><\/span>How many diagonals does a heptagon have?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tA heptagon is a shape which has 7 vertices. It has 14 diagonals.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"Does_a_circle_have_a_diagonal\"><\/span>Does a circle have a diagonal?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tNo, a circle does not have a diagonal because it does not have vertices or sides.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is a diagonal?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"A diagonal is a straight line that connects two non-adjacent vertices (corners) of a polygon, cutting across the shape.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"How many diagonals does a heptagon have?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"A heptagon is a shape which has 7 vertices. It has 14 diagonals.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Does a circle have a diagonal?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"No, a circle does not have a diagonal because it does not have vertices or sides.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n","protected":false},"excerpt":{"rendered":"<p>A diagonal is an important concept in geometry. A diagonal is a line segment connecting two non-adjacent vertices of a [&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":"Diagonals","_yoast_wpseo_title":"Diagonals \u2013 Definition, Example, Application and FAQs","_yoast_wpseo_metadesc":"Learn about diagonals topic of maths in details explained by subject experts on infinitylearn.com. 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