{"id":155170,"date":"2022-03-26T00:20:52","date_gmt":"2022-03-25T18:50:52","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/area-of-a-circle-definition-and-faqs\/"},"modified":"2024-08-21T15:19:19","modified_gmt":"2024-08-21T09:49:19","slug":"area-of-a-circle-definition-and-faqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-circle\/","title":{"rendered":"Area of a Circle"},"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\/area-of-a-circle\/#Area_of_a_Circle_and_Perimeter_of_a_Circle\" title=\"Area of a Circle and Perimeter of a Circle\">Area of a Circle and Perimeter of a Circle<\/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\/area-of-a-circle\/#Definition_of_Radius\" title=\"Definition of Radius\">Definition of Radius<\/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\/area-of-a-circle\/#Definition_of_Diameter\" title=\"Definition of Diameter\">Definition of Diameter<\/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\/area-of-a-circle\/#The_Perimeter_of_a_Circle\" title=\"The Perimeter of a Circle\">The Perimeter of a Circle<\/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\/area-of-a-circle\/#Properties_of_a_Circle\" title=\"Properties of a Circle\">Properties of a Circle<\/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\/area-of-a-circle\/#Area_of_a_Circle_Model\" title=\"Area of a Circle Model\">Area of a Circle Model<\/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\/area-of-a-circle\/#Area_of_a_Circle_Formula\" title=\"Area of a Circle Formula\">Area of a Circle Formula<\/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\/area-of-a-circle\/#Derivation_of_the_Area_of_a_Circle\" title=\"Derivation of the Area of a Circle\">Derivation of the Area of a Circle<\/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\/area-of-a-circle\/#Using_Areas_of_Rectangles\" title=\"Using Areas of Rectangles\">Using Areas of Rectangles<\/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\/area-of-a-circle\/#Using_Area_of_Triangles\" title=\"Using Area of Triangles\">Using Area of Triangles<\/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\/area-of-a-circle\/#Surface_Area_of_a_Circle\" title=\"Surface Area of a Circle\">Surface Area of a Circle<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-circle\/#How_to_find_the_Area_of_a_Circle\" title=\"How to find the Area of a Circle?\">How to find the Area of a Circle?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-circle\/#FAQs_on_Area_of_Circle\" title=\"FAQs on Area of Circle\">FAQs on Area of Circle<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-circle\/#Find_the_radius_of_a_circle_whose_area_is_given_15342_sq_cm\" title=\"Find the radius of a circle whose area is given 153.42 sq. cm. \">Find the radius of a circle whose area is given 153.42 sq. cm. <\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-circle\/#Find_the_circumference_and_area_of_the_circle_whose_radius_is_14_cm\" title=\"Find the circumference and area of the circle whose radius is 14 cm.\">Find the circumference and area of the circle whose radius is 14 cm.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-a-circle\/#How_to_calculate_the_area_of_a_circle_if_the_diameter_of_a_circle_is_given\" title=\"How to calculate the area of a circle if the diameter of a circle is given?\">How to calculate the area of a circle if the diameter of a circle is given?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p><strong>Area of a Circle:<\/strong> The area of a circle is the total space enclosed within the boundary of a circle. The formula used to calculate the area of a circle is \u03c0r<sup>\u00b2<\/sup>, where, r is the radius of the circle. The unit of the area of a circle is m<sup>\u00b2<\/sup>, cm<sup>\u00b2<\/sup>, etc. In this article, we will discuss the circle, the surface area of a circle, and its perimeter.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Area_of_a_Circle_and_Perimeter_of_a_Circle\"><\/span>Area of a Circle and Perimeter of a Circle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A <strong><a href=\"https:\/\/infinitylearn.com\/surge\/maths\/circles\/\">circle<\/a> <\/strong>is a two-dimensional geometrical shape. It is the set of all the points in the plane, that are equidistant from a selected point called the center of the circle. The fixed distance from the center is the <strong>radius of the circle<\/strong>.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-730232\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Area-of-a-Circle-and-Perimeter-of-a-Circle.png\" alt=\"Area of a Circle and Perimeter of a Circle\" width=\"178\" height=\"145\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Area-of-a-Circle-and-Perimeter-of-a-Circle.png 178w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Area-of-a-Circle-and-Perimeter-of-a-Circle-150x122.png 150w\" sizes=\"(max-width: 178px) 100vw, 178px\" \/><\/p>\n<p>A circle is a 2-D shape that only has an area and perimeter. Unlike the 3 dimensional shapes, a circle doesn&#8217;t have volume. Some common examples of the circle from our daily life are wheels, pizzas, etc.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Definition_of_Radius\"><\/span>Definition of Radius<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ol>\n<li>A radius is defined as a line joining the center of the circle to the outer boundary of the circle. It is represented by \u2018r\u2019.<\/li>\n<li>The radius plays a very important role in calculating the area and the perimeter\/ circumference of the circle.<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"Definition_of_Diameter\"><\/span>Definition of Diameter<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The line that divides the circle into two equal parts is the diameter of a circle. Diameter is the double the radius.<\/p>\n<p>i.e.      d = 2r<\/p>\n<p>We can calculate the radius of the circle if the diameter of a circle is given.<\/p>\n<p>r= d\/2<\/p>\n<p style=\"text-align: center;\"><em><strong>Also Check: <a href=\"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-circle-formula\/\">Surface Area of Circle Formula<\/a><\/strong><\/em><\/p>\n<h2><span class=\"ez-toc-section\" id=\"The_Perimeter_of_a_Circle\"><\/span>The Perimeter of a Circle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ol>\n<li>The perimeter of any closed figure is defined as the length of its boundary.<\/li>\n<li>The perimeter of a circle is also known as the \u201cCircumference of a Circle\u201d.<\/li>\n<li>If the circle is opened in a straight line, the length of that straight line is the perimeter of the circle.<\/li>\n<li>To calculate the circumference of a circle, the value of pi (\u03c0) is required.<\/li>\n<\/ol>\n<p>The circle with the center O and radius r is shown in the figure:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-730233\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/The-Perimeter-of-a-Circle-.png\" alt=\"The Perimeter of a Circle\" width=\"510\" height=\"221\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/The-Perimeter-of-a-Circle-.png 510w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/The-Perimeter-of-a-Circle--300x130.png 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/The-Perimeter-of-a-Circle--150x65.png 150w\" sizes=\"(max-width: 510px) 100vw, 510px\" \/><\/p>\n<p>Now the perimeter of a circle is equal to the length of the boundary of a circle. The length of the rope that will wrap around the boundary of the circle will be equal to the circumference. The perimeter of the circle can be measured by using the formula:<\/p>\n<p>Circumference = 2\u03c0r , Where r is the radius of the circle.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Properties_of_a_Circle\"><\/span>Properties of a Circle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>Circles which have equal radius are congruent.<\/li>\n<li>Circles having different radii appear to be similar.<\/li>\n<li>Chords equidistant from the center are of the same length.<\/li>\n<li>All the points on the circle are equidistant from the center point of the circle.<\/li>\n<li>The longest chord of the circle is the diameter.<\/li>\n<li>The diameter cuts the circle into two equal arcs. Each arc is a semicircle.<\/li>\n<\/ul>\n<p style=\"text-align: center;\"><em><strong>Also Check: <a href=\"https:\/\/infinitylearn.com\/surge\/formulas\/area-of-a-sector-of-a-circle-formula\/\">Area of A Sector of A Circle Formula <\/a><\/strong><\/em><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Area_of_a_Circle_Model\"><\/span>Area of a Circle Model<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The area of a circle is the space within the boundary of a circle. The formula for the area of a circle is \u03c0r\u00b2, where r is the radius of the circle. The unit of the area of a circle is m\u00b2, cm\u00b2, etc.<\/p>\n<p>The following figure represents the area of a circle.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-730235\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Area-of-a-Circle-Model.png\" alt=\"Area of a Circle Model\" width=\"208\" height=\"186\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Area-of-a-Circle-Model.png 208w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Area-of-a-Circle-Model-150x134.png 150w\" sizes=\"(max-width: 208px) 100vw, 208px\" \/><\/p>\n<p>All the geometrical shapes have their own area. This area can be considered as the region occupied by the shape in a two-dimensional plane.<\/p>\n<p>The area of a circle is the area covered by one complete cycle of the radius in a two-dimensional plane in the form of a circle. We use the formula discussed below to calculate the area of the circle.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Area_of_a_Circle_Formula\"><\/span>Area of a Circle Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Below is the figure of the circle with radius r and center O from the boundary of the circle.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-730236\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Area-of-a-Circle-Formula.png\" alt=\"Area of a Circle Formula\" width=\"195\" height=\"165\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Area-of-a-Circle-Formula.png 195w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Area-of-a-Circle-Formula-150x127.png 150w\" sizes=\"(max-width: 195px) 100vw, 195px\" \/><\/p>\n<p>The area of the circle is the product of pi and the square of the radius, written as:<\/p>\n<p>Area of a circle = \u03c0r\u00b2 square units, Where the Value of \u03c0= 22\/7 or 3.14, and r is the radius of a circle.<\/p>\n<p style=\"text-align: center;\"><em><strong>Also Check: <a href=\"https:\/\/infinitylearn.com\/surge\/maths\/area-of-quadrant\/\">Area of Quadrant<\/a><\/strong><\/em><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Derivation_of_the_Area_of_a_Circle\"><\/span>Derivation of the Area of a Circle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The area of a circle can be derived by two methods:<\/p>\n<ul>\n<li>Determining the area of a circle using rectangles.<\/li>\n<li>Determining the area of a circle using triangles.<\/li>\n<\/ul>\n<p>Let&#8217;s discuss both methods for the derivation of the Area of a circle.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Using_Areas_of_Rectangles\"><\/span>Using Areas of Rectangles<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The circle is divided into 16 equal parts as shown in the below given figure.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-730237\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Derivation-of-the-Area-of-a-Circle-Using-Areas-of-Rectangles.png\" alt=\"Derivation of the Area of a Circle - Using Areas of Rectangles\" width=\"416\" height=\"145\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Derivation-of-the-Area-of-a-Circle-Using-Areas-of-Rectangles.png 416w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Derivation-of-the-Area-of-a-Circle-Using-Areas-of-Rectangles-300x105.png 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Derivation-of-the-Area-of-a-Circle-Using-Areas-of-Rectangles-150x52.png 150w\" sizes=\"(max-width: 416px) 100vw, 416px\" \/><\/p>\n<p>The area of a circle will be equal to the parallelogram-shaped figure which is formed by the parts divided from the circle. The red color is the half circumference, and blue will be the other half circumference. If the divided parts from the circle are increased, the parallelogram will seem like a rectangle whose length will be equal to \u03c0r and whose breadth is r.<\/p>\n<p>So, the area of a rectangle will be the area of a circle.<\/p>\n<p><strong>A= \u03c0\u00d7r\u00d7r<\/strong><\/p>\n<p><strong>A= \u03c0r\u00b2<\/strong><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Using_Area_of_Triangles\"><\/span>Using Area of Triangles<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The given figure shows the circle with radius r filled with concentric circles. Cut the circles along the indicated line. After spreading the lines, the result will be a triangle. The base of a triangle will act as the circumference of a circle and height will be the radius of the circle.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-730238\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Derivation-of-the-Area-of-a-Circle-Using-Area-of-Triangles.png\" alt=\"Derivation of the Area of a Circle - Using Area of Triangles\" width=\"480\" height=\"148\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Derivation-of-the-Area-of-a-Circle-Using-Area-of-Triangles.png 480w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Derivation-of-the-Area-of-a-Circle-Using-Area-of-Triangles-300x93.png 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/Derivation-of-the-Area-of-a-Circle-Using-Area-of-Triangles-150x46.png 150w\" sizes=\"(max-width: 480px) 100vw, 480px\" \/><\/p>\n<p>Therefore, the area of the triangle will be equal to the area of the circle.<\/p>\n<p>A= 1\/2\u00d7base\u00d7height<\/p>\n<p>A= 1\/2\u00d72\u03c0r\u00d7r<\/p>\n<p>A= \u03c0r\u00b2<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Surface_Area_of_a_Circle\"><\/span>Surface Area of a Circle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A circle is the 2-D representation of a sphere. The surface area of a circle is the total area taken inside the boundary of the circle. When we find the area of a circle, it means the area of a circle itself.<\/p>\n<p>When the radius, diameter, or even the circumference of a circle is given, we can calculate the surface area of a circle using the formula, A= \u03c0r\u00b2.<\/p>\n<p>The surface area of a circle is represented in square units.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_find_the_Area_of_a_Circle\"><\/span>How to find the Area of a Circle?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There can be a number of ways to find the area of a circle. The three most common ways are discussed below.<\/p>\n<p>Area of a Circle using a Radius<\/p>\n<p>The area of a circle is calculated by using the formula:<\/p>\n<p>A= \u03c0r\u00b2, Where r is the radius of the circle.<\/p>\n<p><strong>Solved Example: Find the area of a circle if the radius is 7cm. <\/strong><\/p>\n<p><strong>Solution:<\/strong> If the radius of the circle is 7cm, then the area of the circle will be:<\/p>\n<p>A= \u03c0(7)\u00b2<\/p>\n<p>A= 22\/7\u00d77\u00d77<\/p>\n<p>A= 154 sq. cm.<\/p>\n<p>Area of a Circle using a Diametre<\/p>\n<p>The area of a circle is calculated by using the formula:<\/p>\n<p>A= \u03c0r\u00b2, Where r is the radius of the circle.<\/p>\n<p>We know that r=d\/2<\/p>\n<p>Therefore, the formula used to calculate the area of a circle becomes as:<\/p>\n<p>A= \u03c0d\u00b2 \/4<\/p>\n<p><strong>Solved Example: Find the area of a circle if the diameter of the circle is 4cm<\/strong><\/p>\n<p><strong>Solution:<\/strong> If the diameter of the circle is 4cm, then the area of the circle will be:<\/p>\n<p>A= \u03c0(4)\u00b2 \/4<\/p>\n<p>A= 22\/7\u00d74\u00d74 \/ 4<\/p>\n<p>A= 88\/7<\/p>\n<p>A= 12.57 sq. cm.<\/p>\n<p>The area of a Circle if the Circumference is given<\/p>\n<p>The area of a circle can also be found if the circumference of a circle is given.<\/p>\n<p>As the circumference of a circle is 2 times the product of \u03c0 and the radius of a circle.<\/p>\n<p><strong>C= 2\u03c0r<\/strong><\/p>\n<p>From this, we can find the radius of the circle.<\/p>\n<p><strong>r= C\/2\u03c0<\/strong><\/p>\n<p>Once we know the value of the radius, we can find out the area of the circle.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"FAQs_on_Area_of_Circle\"><\/span>FAQs on Area of Circle<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=\"Find_the_radius_of_a_circle_whose_area_is_given_15342_sq_cm\"><\/span>Find the radius of a circle whose area is given 153.42 sq. cm. <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= \u03c0 r\u00b2 153.42= \u03c0r\u00b2 153.42= 3.14\u00d7r\u00b2 r\u00b2= 153.42\/3.14 r\u00b2= 48.85 r = 6.98 cm.\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=\"Find_the_circumference_and_area_of_the_circle_whose_radius_is_14_cm\"><\/span>Find the circumference and area of the circle whose radius is 14 cm.<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= \u03c0r\u00b2 A= 22\/7\u00d7 14\u00d7 14 A= 616 cm\u00b2 Circumference= 2\u03c0r = 2\u00d722\/7\u00d7 14 = 88 cm \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_to_calculate_the_area_of_a_circle_if_the_diameter_of_a_circle_is_given\"><\/span>How to calculate the area of a circle if the diameter of a circle is given?<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\tThe diameter of a circle is two times the radius. Therefore, the area of the circle is \u03c0\/4 times the square of the diameter of a circle. The formula of the area of a circle, if the diameter of a circle is given is: A=\u03c0\/4 \u00d7 diameter \u00b2\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\": \"Find the radius of a circle whose area is given 153.42 sq. cm. \",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"A= \u03c0 r\u00b2 153.42= \u03c0r\u00b2 153.42= 3.14\u00d7r\u00b2 r\u00b2= 153.42\/3.14 r\u00b2= 48.85 r = 6.98 cm.\"\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\": \"Find the circumference and area of the circle whose radius is 14 cm.\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"A= \u03c0r\u00b2 A= 22\/7\u00d7 14\u00d7 14 A= 616 cm\u00b2 Circumference= 2\u03c0r = 2\u00d722\/7\u00d7 14 = 88 cm\"\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 to calculate the area of a circle if the diameter of a circle is given?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The diameter of a circle is two times the radius. Therefore, the area of the circle is \u03c0\/4 times the square of the diameter of a circle. The formula of the area of a circle, if the diameter of a circle is given is: A=\u03c0\/4 \u00d7 diameter \u00b2\"\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>Area of a Circle: The area of a circle is the total space enclosed within the boundary of a circle. [&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":"Area of a Circle","_yoast_wpseo_title":"Area of Circle: Formula, Calculation & Key Concepts Explained | Infinity Learn","_yoast_wpseo_metadesc":"Learn the formula to calculate the area of a circle, explore key concepts, and understand practical examples for better comprehension of this essential geometry topic.","custom_permalink":"maths\/area-of-a-circle\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Area of Circle: Formula, Calculation &amp; Key Concepts Explained | Infinity Learn<\/title>\n<meta name=\"description\" content=\"Learn the formula to calculate the area of a circle, explore key concepts, and understand practical examples for better 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