{"id":622903,"date":"2023-06-20T22:22:28","date_gmt":"2023-06-20T16:52:28","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=622903"},"modified":"2025-02-28T18:06:54","modified_gmt":"2025-02-28T12:36:54","slug":"surface-area-of-circle-formula","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-circle-formula\/","title":{"rendered":"Surface Area of Circle Formula\u00a0"},"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\/formulas\/surface-area-of-circle-formula\/#Introduction_to_Surface_Area_of_Circle\" title=\"Introduction to Surface Area of Circle \">Introduction to Surface Area of 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\/formulas\/surface-area-of-circle-formula\/#What_is_a_Circle\" title=\"What is a Circle? \">What is a Circle? <\/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\/formulas\/surface-area-of-circle-formula\/#Radius\" title=\"Radius \">Radius <\/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\/formulas\/surface-area-of-circle-formula\/#Diameter\" title=\"Diameter  \">Diameter  <\/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\/formulas\/surface-area-of-circle-formula\/#Circumference_of_Circle\" title=\"Circumference of Circle \">Circumference of 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\/formulas\/surface-area-of-circle-formula\/#Surface_Area_of_Circle_Formula\" title=\"Surface Area of Circle Formula \">Surface Area of Circle Formula <\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/surface-area-of-circle-formula\/#Solved_Examples_on_Area_of_a_Circle_Formula\" title=\"Solved Examples on Area of a Circle Formula \">Solved Examples on Area of a Circle Formula <\/a><\/li><\/ul><\/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\/formulas\/surface-area-of-circle-formula\/#Frequently_Asked_Questions_on_Area_of_a_Circle_Formula\" title=\"Frequently Asked Questions on Area of a Circle Formula \">Frequently Asked Questions on Area of a Circle Formula <\/a><\/li><\/ul><\/nav><\/div>\n<h2><b><span data-contrast=\"none\">Introduction to Surface Area of Circle<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<p><span data-contrast=\"none\">Area of a circle is the region occupied by the circle in a two-dimensional plane. It can be determined easily using a formula, A = \u03c0r<\/span><span data-contrast=\"none\">2<\/span><span data-contrast=\"none\">, (Pi r-squared) where r is the radius of the circle. The unit of area is the square unit, such as m<\/span><span data-contrast=\"none\">2<\/span><span data-contrast=\"none\">, cm<\/span><span data-contrast=\"none\">2<\/span><span data-contrast=\"none\">, etc. The area of the circle formula is useful for measuring the space occupied by a circular field or a plot. Suppose you have the plot to fence it, then the area formula will help you to check how much fencing is required. Or suppose you have to buy a table cloth, then how many portions of cloth is needed to cover it completely.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\"> Hence, the concept of area as well as the perimeter is introduced in Maths, to figure out such scenarios. But, one common question that arises among most people is \u201cdoes a circle have volume?\u201d. The answer is \u201cNo\u201d. Since a circle is a two-dimensional shape, it does not have volume. It has only an area and perimeter. So, we don\u2019t have the volume of a circle. In this article, let us discuss in detail the area of a circle, surface area and its circumference with examples.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h2><b><span data-contrast=\"none\">What is a Circle?<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<p><span data-contrast=\"none\">A circle closed plane geometric shape. In technical terms, a circle is a locus of a point moving around a fixed point at a fixed distance away from the point. Basically, a circle is a closed curve with its outer line equidistant from the center. The fixed distance from the point is the radius of the circle. In real life, you will get many examples of the circle such as a wheel, pizzas, a circular ground, etc. Now let us learn, what are the terms used in the case of a circle.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h2><b><span data-contrast=\"none\">Radius<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<p><span data-contrast=\"none\">The radius of the circle is the line that joins the center of the circle to the outer boundary. It is usually represented by \u2018r\u2019 or \u2018R\u2019. In the formula for the area and circumference of a circle, radius plays an important role which you will learn later.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h2><b><span data-contrast=\"none\">Diameter<\/span><\/b><b><span data-contrast=\"none\"> <\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<p><span data-contrast=\"none\">The diameter of the circle is the line that divides the circle into two equal parts. In an easy way we can say, it is just the double of the radius of the circle and is represented by \u2018d\u2019 or \u2018D\u2019. Therefore,<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">d = 2r or D = 2R<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">If the diameter of the circle is known to us, we can calculate the radius of the circle, such as;<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">r = d\/2 or R = D\/2<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h2><b><span data-contrast=\"none\">Circumference of Circle<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<p><span data-contrast=\"none\">A perimeter of closed figures is defined as the length of its boundary. When it comes to circles, the perimeter is given using a different name. It is called the \u201cCircumference\u201d of the circle. This circumference is the length of the boundary of the circle. If we open the circle to form a straight line, then the length of the straight line is the circumference. To define the circumference of the circle, knowledge of a term known as \u2018pi\u2019 is required.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h2><b><span data-contrast=\"none\">Surface Area of Circle Formula<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<p><span data-contrast=\"none\">The formula for the area of a circle is:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">A = \u03c0r\u00b2<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">where A represents the area and r is the radius of the circle. The value of \u03c0 is approximately 3.14159, but you can use a more precise value depending on the level of accuracy required for your calculations.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">The area of the circle formula is useful for measuring the space occupied by a circular field or a plot. Suppose you have the plot to fence it, then the area formula will help you to check how much fencing is required. Or suppose you have to buy a table cloth, then how many portions of cloth is needed to cover it completely.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Hence, the concept of area as well as the perimeter is introduced in Maths, to figure out such scenarios. But, one common question that arises among most people is \u201cdoes a circle have volume?\u201d. The answer is \u201cNo\u201d. Since a circle is a two-dimensional shape, it does not have volume. It has only an area and perimeter. So, we don\u2019t have the volume of a circle. In this article, let us discuss in detail the area of a circle, surface area and its circumference with examples.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<h3><b><span data-contrast=\"none\">Solved Examples on Area of a Circle Formula<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/h3>\n<p><b><span data-contrast=\"none\">Example 1: <\/span><\/b><span data-contrast=\"none\">What is the radius of the circle whose surface area is 314.159 sq.cm?<\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:360}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Solution:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:360}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">By the formula of the surface area of the circle, we know;<\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:360}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">A = \u03c0 x r<\/span><span data-contrast=\"none\">2<\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:360}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Now, substituting the value:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:360}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">314.159 = \u03c0 x r<\/span><span data-contrast=\"none\">2<\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:360}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">314.159 = 3.14 x r<\/span><span data-contrast=\"none\">2<\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:360}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">r<\/span><span data-contrast=\"none\">2<\/span><span data-contrast=\"none\"> = 314.159\/3.14<\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:360}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">r<\/span><span data-contrast=\"none\">2<\/span><span data-contrast=\"none\"> = 100.05<\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:360}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">r = \u221a100.05<\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:360}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">r = 10 cm<\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:360}\"> <\/span><\/p>\n<p><b><span data-contrast=\"none\">Example 2: <\/span><\/b><span data-contrast=\"none\">Find the circumference and the area of circle if the radius is 7 cm.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:360}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Solution:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:360}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Given: Radius, r = 7 cm<\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:360}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">We know that the circumference\/ perimeter of the circle is 2\u03c0r cm.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:360}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Now, substitute the radius value, we get<\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:360}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">C = 2\u00d7(22\/7)\u00d7 7<\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:360}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">C = 2\u00d722<\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:360}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">C = 44 cm<\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:360}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Thus, the circumference of the circle is 44 cm.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:360}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Now, the area of the circle is \u03c0r<\/span><span data-contrast=\"none\">2 <\/span><span data-contrast=\"none\">cm<\/span><span data-contrast=\"none\">2<\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:360}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">A = (22\/7) \u00d7 7 \u00d7 7<\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:360}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">A = 22 \u00d7 7<\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:360}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">A = 154 cm<\/span><span data-contrast=\"none\">2 <\/span><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:360}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:1,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:360}\"> <\/span><\/p>\n<h2><b><span data-contrast=\"none\">Frequently Asked Questions on Area of a Circle Formula<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/h2>\n<p><span data-contrast=\"none\">1: What is meant by area of circle?<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Answer: The area of circle is the region occupied by circle in the two-dimensional space.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">2: How to calculate the area of a circle?<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Answer: The area of circle can be calculated by using the formulas:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Area = \u03c0 x r<\/span><span data-contrast=\"none\">2<\/span><span data-contrast=\"none\">, in terms of radius \u2018r\u2019.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Area = (\u03c0\/4) x d<\/span><span data-contrast=\"none\">2<\/span><span data-contrast=\"none\">, in terms of diameter, \u2018d\u2019.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Area = C^2\/4\u03c0, in terms of circumference, \u2018C\u2019.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">3: What is the perimeter of circle?<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Answer: The perimeter of circle is nothing but the circumference, which is equal to twice of product of pi (\u03c0) and radius of circle, i.e., 2\u03c0r.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">4: What is the area of a circle with radius 3 cm, in terms of \u03c0?<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Answer: Given, r = 3 cm.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">We know that the area of circle is \u03c0r<\/span><span data-contrast=\"none\">2<\/span><span data-contrast=\"none\"> square units<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Hence, A = \u03c0 x 3<\/span><span data-contrast=\"none\">2<\/span><span data-contrast=\"none\"> = 9\u03c0 cm<\/span><span data-contrast=\"none\">2<\/span><span data-contrast=\"none\">.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">5: Find the circumference of circle in terms of \u03c0, whose radius is 14 cm.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Answer: We know that the circumference of a circle is 2\u03c0r units.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Hence, C = 2\u03c0(14) = 28\u03c0 cm.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">6: Find the radius of the circle, if its area is 340 square centimeters.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Answer: We know that, Area of a circle = \u03c0r<\/span><span data-contrast=\"none\">2 <\/span><span data-contrast=\"none\">square units<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Hence, 340 =3.14 r<\/span><span data-contrast=\"none\">2<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Hence, r<\/span><span data-contrast=\"none\">2 <\/span><span data-contrast=\"none\">= 340\/3.14<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">R^2 = 108.28<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Hence, r = 10.4 cm.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Hence, radius of a circle = 10.4 cm<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\"> <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">7: Determine the area of the circle in terms of pi, if radius = 6 cm.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Answer: We know that, Area = \u03c0r<\/span><span data-contrast=\"none\">2<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">A = \u03c0(6)<\/span><span data-contrast=\"none\">2<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">A = 36\u03c0<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Hence, the area of a circle is 36\u03c0, if the radius is 6 cm.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\"> <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">8: Find the area of a circle, if its circumference is 128 inches.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-contrast=\"none\">Answer: The area of a circle is 1303.8 square inches if its circumference is 128 inches.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:1,&quot;335551620&quot;:1,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559739&quot;:160,&quot;335559740&quot;:259}\"> <\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Introduction to Surface Area of Circle Area of a circle is the region occupied by the circle in a two-dimensional [&hellip;]<\/p>\n","protected":false},"author":53,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Surface Area of Circle Formula\u00a0","_yoast_wpseo_title":"Surface Area of Circle Formula\u00a0with Examples - Infinity learn","_yoast_wpseo_metadesc":"Discover how to calculate the surface area of a circle using the formula: \u03c0r\u00b2. Important for geometry and everyday use.","custom_permalink":"formulas\/surface-area-of-circle-formula\/"},"categories":[8438,8536],"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>Surface Area of Circle Formula\u00a0with Examples - Infinity learn<\/title>\n<meta name=\"description\" content=\"Discover how to calculate the surface area of a circle using the formula: \u03c0r\u00b2. 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