{"id":36434,"date":"2023-12-11T16:05:58","date_gmt":"2023-12-11T16:05:58","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=36434"},"modified":"2023-12-11T16:44:53","modified_gmt":"2023-12-11T16:44:53","slug":"area-of-a-circle-definition-formula-derivation-examples-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/area-of-a-circle","title":{"rendered":"Area of a Circle &#8211; Definition, Formula, Derivation, Examples, FAQs"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-2175d2a3-d931-4f8e-9517-80dcff791cc3\" 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\/area-of-a-circle#0-what-is-the-area-of-a-circle>What Is the Area of a Circle?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/area-of-a-circle#2-area-of-circle-formulas>Area of Circle Formulas<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/area-of-a-circle#3-how-to-find-the-area-of-a-circle>How to Find the Area of a Circle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/area-of-a-circle#8-solved-examples-on-area-of-a-circle>Solved Examples on Area of a Circle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/area-of-a-circle#9-practice-problems-on-area-of-a-circle>Practice Problems on Area of a Circle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/area-of-a-circle#10-frequently-asked-questions-about-area-of-a-circle>Frequently Asked Questions about Area of a Circle<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-the-area-of-a-circle\">What Is the Area of a Circle?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>The area of a circle is the region occupied by the circle within its boundary (circumference) in a 2D plane.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">If the radius of a circle is r, the area is defined as A = \u03c0r<sup>2<\/sup>, where is a mathematical constant with approximate value of 3.14 or $\\frac{22}{7}$.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/area\">Area<\/a> of a circle is measured in <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/square-unit#:~:text=In%20geometry%2C%20a%20square%20unit,are%20square%20inches%2C%20square%20feet.\">square units<\/a>.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"399\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/radius-circumference-area.png\" alt=\"Radius, circumference, area\" class=\"wp-image-36437\" title=\"Radius, circumference, area\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/radius-circumference-area.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/radius-circumference-area-300x193.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\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\/add-to-find-the-area\" 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\/geo_meas_find_area_pt.png\" alt=\"Add to Find the Area 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\">Add to Find the Area 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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/area-of-composite-figure\" 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\/geo_meas_grannys_rescue_10_gm.png\" alt=\"Area of Composite Figure 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\">Area of Composite Figure 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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/area-with-unit-squares-and-side-lengths\" 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\/geo_meas_area_unit_sq_side_length_pt.png\" alt=\"Area with Unit Squares and Side Lengths 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\">Area with Unit Squares and Side Lengths 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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/area-word-problems-on-product-of-fractions\" 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\/fractions_real_life_prob_area_pt.png\" alt=\"Area Word Problems on Product of Fractions 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\">Area Word Problems on Product of Fractions 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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/build-the-area\" 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\/geo_meas_grannys_rescue_3_4_5_gm.png\" alt=\"Build the Area 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\">Build the Area 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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/count-upto-10-objects-in-circle\" 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\/count_comp_hide_and_seek_10_gm.png\" alt=\"Count upto 10 Objects in Circle 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\">Count upto 10 Objects in Circle 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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/determine-the-area-of-rectilinear-shapes\" 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\/geo_meas_area_rectilinear_shapes_pt.png\" alt=\"Determine the Area of Rectilinear Shapes 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\">Determine the Area of Rectilinear Shapes 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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-area-by-multiplying-side-lengths\" 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\/geo_meas_area_multi_side_length_1_pt.png\" alt=\"Find Area by Multiplying Side Lengths 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\">Find Area by Multiplying Side Lengths 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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-area-in-square-units\" 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\/geo_meas_grannys_rescue_1_2_gm.png\" alt=\"Find Area in Square Units 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\">Find Area in Square Units 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 class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/find-the-area-by-multiplying-the-side-lengths\" 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\/geo_meas_area_multiply_pt.png\" alt=\"Find the Area by Multiplying the Side Lengths 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\">Find the Area by Multiplying the Side Lengths 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=\"wp-block-heading\" id=\"1-parts-of-a-circle\">Parts of a Circle<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/circle\">circle<\/a> is a two-dimensional closed geometric shape that is a collection of all points which are at a fixed distance from a fixed point (center). This fixed distance is called the radius of the circle.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Let\u2019s learn about different <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/parts-of-circle\">parts of a circle<\/a>. It will help us in understanding the different formulas used to calculate the area of a circle.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-center\" data-align=\"center\"><strong>Part<\/strong><\/th><th class=\"has-text-align-left\" data-align=\"left\"><strong>Definition<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">Center<\/td><td class=\"has-text-align-left\" data-align=\"left\">The fixed point at the middle that is equidistant from all the points from every point on the boundary of the circle.<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Radius<\/td><td class=\"has-text-align-left\" data-align=\"left\">The fixed distance from the center to any point on the circumference (boundary) of the circle. All radii (plural) of a circle are equal.<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/diameter-formula\">Diameter<\/a><\/td><td class=\"has-text-align-left\" data-align=\"left\">A straight line that connects any two points on the circumference while passing through the center of the circle.&nbsp;<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/circumference-of-a-circle\">Circumference<\/a><\/td><td class=\"has-text-align-left\" data-align=\"left\">The length of the boundary of a circle.<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Chord<\/td><td class=\"has-text-align-left\" data-align=\"left\">A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/line-segment\">line segment<\/a> that connects any two points on the circumference of a circle.<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Tangent<\/td><td class=\"has-text-align-left\" data-align=\"left\">A straight line that passes by touching the circumference at one point.<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/arc\">Arc<\/a><\/td><td class=\"has-text-align-left\" data-align=\"left\">A part of the circle\u2019s circumference.<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Segment<\/td><td class=\"has-text-align-left\" data-align=\"left\">A region enclosed by an arc and a chord.<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/sector-of-a-circle\">Sector<\/a>&nbsp;<\/td><td class=\"has-text-align-left\" data-align=\"left\">A region enclosed by 2 radii and an arc.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"611\" height=\"549\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/parts-of-a-circle.png\" alt=\"Parts of a Circle\" class=\"wp-image-36438\" title=\"Parts of a Circle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/parts-of-a-circle.png 611w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/parts-of-a-circle-300x270.png 300w\" sizes=\"auto, (max-width: 611px) 100vw, 611px\" \/><\/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\/add-fractions-using-area-models\" 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\/add-fractions-using-area-models.jpeg\" alt=\"Add Fractions using Area Models 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\/add-like-fractions-using-area-models\" 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\/add-like-fractions-using-area-models.jpeg\" alt=\"Add Like Fractions using Area Models 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\/add-mixed-numbers-and-fractions-using-area-models\" 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\/add-mixed-numbers-and-fractions-using-area-models.jpeg\" alt=\"Add Mixed Numbers and Fractions using Area Models 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\/circle-equivalent-fractions\" 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\/circle-equivalent-fractions.jpeg\" alt=\"Circle Equivalent Fractions 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\/compare-fractions-using-area-model\" 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\/compare-fractions-using-area-model.jpeg\" alt=\"Compare Fractions Using Area Model 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\/complete-the-area-model\" 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\/complete-the-area-model.jpeg\" alt=\"Complete the Area Model 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\/complete-the-equation-for-the-area-model\" 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\/complete-the-equation-for-the-area-model.jpeg\" alt=\"Complete the Equation for the Area Model 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\/convert-mixed-numbers-using-area-models\" data-vars-ga-category=\"splashlearn_vocab\" 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src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/create-area-models-to-multiply-unit-fractions.jpeg\" alt=\"Create Area Models to Multiply Unit Fractions 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\/create-equivalent-fractions-using-area-model\" 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\/create-equivalent-fractions-using-area-model.jpeg\" alt=\"Create Equivalent Fractions using Area Model Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" 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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=\"wp-block-heading\" id=\"2-area-of-circle-formulas\">Area of Circle Formulas<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\"><strong>Description<\/strong><\/th><th class=\"has-text-align-left\" data-align=\"left\"><strong>Formula<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">Area of a circle using radius<\/td><td class=\"has-text-align-left\" data-align=\"left\">A = \u03c0r<sup>2<\/sup><\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Area of a circle using diameter<\/td><td class=\"has-text-align-left\" data-align=\"left\">A $= \\frac{\\pi}{4} d^{2}$<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Area of a circle using circumference<\/td><td class=\"has-text-align-left\" data-align=\"left\">A $= \\frac{C^{2}}{4\\pi}$<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-how-to-find-the-area-of-a-circle\">How to Find the Area of a Circle<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Let\u2019s discuss methods to find the area of a circle based on the information available.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>How to Find the Area of a Circle with Radius<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">The formula for the area of a circle (A) using its radius r is as follows:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A = \u03c0r<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example: <\/strong>A circle has a radius of 5 inches. Find the area of the circle.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A = \u03c0r<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A = 3.14 \u00d7 (5 inches)<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A = 3.14 \u00d7 25 inch<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A = 78.5 inch<sup>2<\/sup><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>How to Find the Area of a Circle with Diameter<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">We know that A = \u03c0r<sup>2<\/sup> and r $= \\frac{d}{2}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The formula for the area of a circle (A) using its diameter (d) as follows:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A $= \\frac{\\pi}{4} d^{2}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example:<\/strong> A circle has a diameter of 10 inches. Find the area of the circle.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A $= \\frac{\\pi}{4} d^{2}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A $= \\frac{\\pi}{4} \\times $(10 inches)<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A $= (\\frac{3.14159}{4}) \\times 100$ inch<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A $= 78.54$ inch<sup>2<\/sup><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>How to Find the Area of a Circle with Circumference<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Circumference = C = 2\u03c0r&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, r $= \\frac{C}{2\\pi}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Substitute this value in the formula A = \u03c0r<sup>2<\/sup>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A $= \\pi (\\frac{C}{2\\pi})^{2}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A $= \\frac{C^{2}}{4\\pi}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example: <\/strong>A circle has a circumference of 31.42 units. Find the area of the circle.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A $= \\frac{C^{2}}{4\\pi}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A $= \\frac{(31.42)^{2}}{4 \\times 3.14}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A = 78.6 inch<sup>2<\/sup><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-derivation-of-area-of-a-circle-formula\">Derivation of Area of a Circle Formula<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">You can visualize and derive the area of a circle by the following two methods:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Derivation of the area of a circle formula using the area of a rectangle<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">The figure shows a circle divided into 16 equal sectors of equal areas. If the sectors are cut out from the circle and placed as a parallelogram-shaped figure, the area of the circle will be equal to the area of this figure.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"613\" height=\"499\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/visualizing-the-area-of-a-circle-using-a-rectangle.png\" alt=\"Visualizing the area of a circle using a rectangle\" class=\"wp-image-36439\" title=\"Visualizing the area of a circle using a rectangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/visualizing-the-area-of-a-circle-using-a-rectangle.png 613w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/visualizing-the-area-of-a-circle-using-a-rectangle-300x244.png 300w\" sizes=\"auto, (max-width: 613px) 100vw, 613px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">The pink-colored sectors will cover half of the circle and thus have half the circumference. The blue-colored sectors will cover the other half.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Radius = r<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Circumference = 2\u03c0r<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Circumference of Pink Sectors $= \\frac{1}{2} \\times 2\\pi r = \\pi r$&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Circumference of Blue Sectors = \u03c0r<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We can see that the parallelogram-like shape will appear like a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rectangle\">rectangle<\/a> if the number of sectors is increased.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"442\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/deriving-the-formula-for-the-area-of-a-circle-using-area-of-a-rectangle.png\" alt=\"Deriving the formula for the area of a circle using area of a rectangle\" class=\"wp-image-36440\" title=\"Deriving the formula for the area of a circle using area of a rectangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/deriving-the-formula-for-the-area-of-a-circle-using-area-of-a-rectangle.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/deriving-the-formula-for-the-area-of-a-circle-using-area-of-a-rectangle-300x214.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Length of the rectangle = \u03c0r<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Breadth = r<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Area of rectangle = l \u00d7 b<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Putting the values from the figure into the formula<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A = \u03c0r \u00d7 r<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A = \u03c0r<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Area of a circle =&nbsp; \u03c0r<sup>2<\/sup><\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"2\">\n<li><strong>Derivation of the area of a circle formula using<\/strong><strong> the area of a triangle<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">The figure below shows concentric circles throughout the radius. Imagine that the circle is cut along a radius and opened up to form a shape that resembles a triangle.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The circumference of a circle will become the base of the triangle, and the radius will become its height.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Circumference = 2\u03c0r<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Radius = r = Height of the Triangle<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"533\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/deriving-the-Area-of-a-circle-using-area-of-a-triangle.png\" alt=\"Deriving the Area of a circle using area of a triangle\" class=\"wp-image-36441\" title=\"Deriving the Area of a circle using area of a triangle\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/deriving-the-Area-of-a-circle-using-area-of-a-triangle.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/deriving-the-Area-of-a-circle-using-area-of-a-triangle-300x258.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">So, the area of the triangle (A) will be equal to the area of the circle. We have<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Since, Area of a triangle $= \\frac{1}{2}$ \u00d7 base \u00d7 height<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So, putting the values from the figure into the formula<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A $= \\frac{1}{2} \u00d7 (2\\pi r) \u00d7 r$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A = \u03c0r<sup>2<\/sup><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-real-world-examples-of-applications-of-area-of-a-circle\">Real-world Examples of Applications of Area of a Circle<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Let us take a couple of real-world applications of the area of a circle.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example:<\/strong> Tracy has a table with a circular tabletop having a diameter of 3 feet. Would a tablecloth with an area 5 square feet be sufficient for covering the tabletop?<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"503\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/a-circular-table-top-with-diameter-3-feet.png\" alt=\"A circular table top with diameter 3 feet\" class=\"wp-image-36442\" title=\"A circular table top with diameter 3 feet\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/a-circular-table-top-with-diameter-3-feet.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/12\/a-circular-table-top-with-diameter-3-feet-300x243.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">The radius of the tabletop will be half of the diameter.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$r =&nbsp; \\frac{d}{2} = \\frac{3}{2} = 1.5$ feet<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Now, the area of the circular tabletop can be calculated using the formula:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A = \u03c0r<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A = \u03c0(1.5)<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A = 7.065 square feet<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, the tablecloth having an area 5 square feet won\u2019t be enough to cover the tabletop.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Such a calculation is useful in day-to-day life scenarios to know the precise measurements of circular objects, thus minimizing the wastage of money and resources.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-facts-about-area-of-a-circle\">Facts about Area of a Circle<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-4fc3f8e1 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>The word &#8220;circle&#8221; itself comes from the Latin word &#8220;circulus,&#8221; meaning &#8220;a small ring.&#8221;<\/li>\n\n\n\n<li>Archimedes is known for his method of exhaustion, which involved inscribing and circumscribing polygons around a circle to approximate its area.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">In this article, we learned how to calculate the area of a circle. We discussed formulas used to find the area of a circle based on the information known to us. We also derived the formula for the area of a circle using the area of a rectangle and area of a triangle. Now, let\u2019s solve a few examples and practice MCQs.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-solved-examples-on-area-of-a-circle\">Solved Examples on Area of a Circle<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example 1: If the diameter of a circular garden is 50 feet, find the area of the garden.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Diameter of the circular garden (d) = 50 feet<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The radius of the circular garden (r) $= \\frac{d}{2} = 25$ feet<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The area of the circular garden (A) = \u03c0r<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A = \u03c0(25)<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A = 625\u03c0 square feet<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore, the area of the circular garden is 625\u03c0 square feet.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example 2: Calculate the area of a circle with a radius of 10 feet in terms of <\/strong>\u03c0<strong>.<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Radius (r) = 10 feet<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The area of the circle (A) = \u03c0r<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A = \u03c0(10)<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A = 100\u03c0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore, the area of the circular swimming pool is 100\u03c0 square feet.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example 3: What is the area of a circular window with a diameter of 3 feet?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Diameter (d) = 3 feet<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Radius (r) $= \\frac{d}{2}$&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">r = 1.5 feet<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So, A = \u03c0r<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A $= \\pi \\times (1.5)^{2}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A = 2.25\u03c0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore, the area of the circular window is 2.25\u03c0 square feet.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example 4: What is its area if a circular table measures 12\u03c0 feet around its edge?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Circumference of the circular table (C) = 12\u03c0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The area of the circular table when the circumference is given $= A = (\\frac{C}{2\u03c0})^{2}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A $= (\\frac{12\\pi}{2\\pi})^{2}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A = 6<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A = 36 feet<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So, the area of the circular table is 36 feet<sup>2<\/sup>. We have another way to find out the area of the circular table when its circumference is provided.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A $= \\frac{C^{2}}{4\\pi}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A $= \\frac{12\\pi^{2}}{4\\pi}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A $= \\frac{144\\pi}{4\\pi}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A = 36 square feet<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Example 5: If a pizza restaurant charges $0.10 per square inch of pizza, what would be the cost of a pizza with a 14-inch diameter? (Round to the nearest whole number.)<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Diameter of the pizza = 14 inches<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Radius of the pizza $= \\frac{14}{2} = 7$ inches<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We need to calculate the area first. For the area of the pizza, we can use the formula (A) = \u03c0r<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A = \u03c0 \u00d7 7<sup>2<\/sup> = 49\u03c0 square inches<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Cost per square inch =&nbsp; $0.10<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Cost of a pizza with 49\u03c0 square inches area $= 49\\pi \\times \\$0.10 = \\$15.386 = \\$15$ (Rounded to the nearest whole number.)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore, the cost of the pizza is $\\$15$.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-practice-problems-on-area-of-a-circle\">Practice Problems on Area of a Circle<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Area of a Circle - Definition, Formula, Derivation, Examples, FAQs<\/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\">What is the area of a circle whose diameter is 8 units?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$8\\pi \\;unit^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$16\\pi\\;unit^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$64\\pi\\;unit^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$32\\pi \\;unit^{2}$<\/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: $16\\pi\\;unit^{2}$<br\/>d = 2 units<br>\r\nr = 4 units.<br>\r\nA $= \\pi r^{2} = \\pi (4)^{2} = 16\\pi$ square units<\/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\">What is the radius of a circle with an area of 36\u03c0 square inches?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">6 inches<\/div><div class=\"spq_answer_block\" data-value=\"1\">12 inches<\/div><div class=\"spq_answer_block\" data-value=\"2\">18 inches<\/div><div class=\"spq_answer_block\" data-value=\"3\">36 inches<\/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: 6 inches<br\/>A $= \\pi r^{2}$<br>\r\n$36\\pi = \\pi r^{2}$<br>\r\n$r = \\sqrt{36} = 6$ inches.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">What is the area of a circle with a circumference of 18\u03c0 units?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$81\\pi\\; unit^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$9\\pi\\; unit^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$81\\; unit^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$324\\pi\\; unit^{2}$<\/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: $81\\; unit^{2}$<br\/>$C = 2\\pi r$<br>\r\nThus, $r = \\frac{C}{2\\pi} = \\frac{18\\pi}{2\\pi} = 9$ units<br>\r\nNow, we can put the value of r into the area formula to calculate the area of the circle.<br>\r\nA $= \\pi r^{2}$<br>\r\nA $= \\pi(9)^{2} = 81\\pi\\; unit^{2}$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">What is the area of a unit circle?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">2\u03c0 square units<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\pi^{2}$ square units<\/div><div class=\"spq_answer_block\" data-value=\"2\">\u03c0 square units<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\\frac{\\pi}{2}$ square units<\/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: \u03c0 square units<br\/>Radius of unit circle = 1 unit<br>\r\nA $= \\pi r^{2} = \\pi (1)(1) = \\pi$ square units<\/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 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\"text\": \"$$64\\\\pi\\\\;unit^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"d = 2 units<br>\r\nr = 4 units.<br>\r\nA $$= \\\\pi r^{2} = \\\\pi (4)^{2} = 16\\\\pi$$ square units\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$32\\\\pi \\\\;unit^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"d = 2 units<br>\r\nr = 4 units.<br>\r\nA $$= \\\\pi r^{2} = \\\\pi (4)^{2} = 16\\\\pi$$ square units\"\n                                    }\n                                }],\n                    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\\\\sqrt{36} = 6$$ inches.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"18 inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A $$= \\\\pi r^{2}$$<br>\r\n$$36\\\\pi = \\\\pi r^{2}$$<br>\r\n$$r = \\\\sqrt{36} = 6$$ inches.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"36 inches\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A $$= \\\\pi r^{2}$$<br>\r\n$$36\\\\pi = \\\\pi r^{2}$$<br>\r\n$$r = \\\\sqrt{36} = 6$$ inches.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"6 inches\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"A $$= \\\\pi r^{2}$$<br>\r\n$$36\\\\pi = \\\\pi r^{2}$$<br>\r\n$$r = \\\\sqrt{36} = 6$$ inches.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"A $$= \\\\pi r^{2}$$<br>\r\n$$36\\\\pi = \\\\pi r^{2}$$<br>\r\n$$r = \\\\sqrt{36} = 6$$ inches.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the area of a circle with a circumference of 18\u03c0 units?\",\n                    \"text\": \"What is the area of a circle with a circumference of 18\u03c0 units?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$C = 2\\\\pi r$$<br>\r\nThus, $$r = \\\\frac{C}{2\\\\pi} = \\\\frac{18\\\\pi}{2\\\\pi} = 9$$ units<br>\r\nNow, we can put the value of r into the area formula to calculate the area of the circle.<br>\r\nA $$= \\\\pi r^{2}$$<br>\r\nA $$= \\\\pi(9)^{2} = 81\\\\pi\\\\; unit^{2}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$81\\\\pi\\\\; unit^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$C = 2\\\\pi r$$<br>\r\nThus, $$r = \\\\frac{C}{2\\\\pi} = \\\\frac{18\\\\pi}{2\\\\pi} = 9$$ units<br>\r\nNow, we can put the value of r into the area formula to calculate the area of the circle.<br>\r\nA $$= \\\\pi r^{2}$$<br>\r\nA $$= \\\\pi(9)^{2} = 81\\\\pi\\\\; unit^{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$9\\\\pi\\\\; unit^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$C = 2\\\\pi r$$<br>\r\nThus, $$r = \\\\frac{C}{2\\\\pi} = \\\\frac{18\\\\pi}{2\\\\pi} = 9$$ units<br>\r\nNow, we can put the value of r into the area formula to calculate the area of the circle.<br>\r\nA $$= \\\\pi r^{2}$$<br>\r\nA $$= \\\\pi(9)^{2} = 81\\\\pi\\\\; unit^{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$324\\\\pi\\\\; unit^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$C = 2\\\\pi r$$<br>\r\nThus, $$r = \\\\frac{C}{2\\\\pi} = \\\\frac{18\\\\pi}{2\\\\pi} = 9$$ units<br>\r\nNow, we can put the value of r into the area formula to calculate the area of the circle.<br>\r\nA $$= \\\\pi r^{2}$$<br>\r\nA $$= \\\\pi(9)^{2} = 81\\\\pi\\\\; unit^{2}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$81\\\\; unit^{2}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$C = 2\\\\pi r$$<br>\r\nThus, $$r = \\\\frac{C}{2\\\\pi} = \\\\frac{18\\\\pi}{2\\\\pi} = 9$$ units<br>\r\nNow, we can put the value of r into the area formula to calculate the area of the circle.<br>\r\nA $$= \\\\pi r^{2}$$<br>\r\nA $$= \\\\pi(9)^{2} = 81\\\\pi\\\\; unit^{2}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$C = 2\\\\pi r$$<br>\r\nThus, $$r = \\\\frac{C}{2\\\\pi} = \\\\frac{18\\\\pi}{2\\\\pi} = 9$$ units<br>\r\nNow, we can put the value of r into the area formula to calculate the area of the circle.<br>\r\nA $$= \\\\pi r^{2}$$<br>\r\nA $$= \\\\pi(9)^{2} = 81\\\\pi\\\\; unit^{2}$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the area of a unit circle?\",\n                    \"text\": \"What is the area of a unit circle?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Radius of unit circle = 1 unit<br>\r\nA $$= \\\\pi r^{2} = \\\\pi (1)(1) = \\\\pi$$ square units\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2\u03c0 square units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Radius of unit circle = 1 unit<br>\r\nA $$= \\\\pi r^{2} = \\\\pi (1)(1) = \\\\pi$$ square units\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\pi^{2}$$ square units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Radius of unit circle = 1 unit<br>\r\nA $$= \\\\pi r^{2} = \\\\pi (1)(1) = \\\\pi$$ square units\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{\\\\pi}{2}$$ square units\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Radius of unit circle = 1 unit<br>\r\nA $$= \\\\pi r^{2} = \\\\pi (1)(1) = \\\\pi$$ square units\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"\u03c0 square units\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Radius of unit circle = 1 unit<br>\r\nA $$= \\\\pi r^{2} = \\\\pi (1)(1) = \\\\pi$$ square units\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Radius of unit circle = 1 unit<br>\r\nA $$= \\\\pi r^{2} = \\\\pi (1)(1) = \\\\pi$$ square units\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-frequently-asked-questions-about-area-of-a-circle\">Frequently Asked Questions about Area of a Circle<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-42397642-9c6c-4455-80a8-225ee91dc368\" 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-0-42397642-9c6c-4455-80a8-225ee91dc368\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-42397642-9c6c-4455-80a8-225ee91dc368\"><strong>What is the formula for the area of a circle?<\/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-0-42397642-9c6c-4455-80a8-225ee91dc368\">\n\n<p class=\"wp-block-paragraph\">Area of a circle $= \\pi r^{2}$, where r is the radius of the circle.<\/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-1-42397642-9c6c-4455-80a8-225ee91dc368\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-42397642-9c6c-4455-80a8-225ee91dc368\"><strong>Can the area of a circle be negative?<\/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-1-42397642-9c6c-4455-80a8-225ee91dc368\">\n\n<p class=\"wp-block-paragraph\">The area of a circle can never have a negative value. The area of a circle is the amount of space it encloses given by A = \u03c0r<sup>2 <\/sup>. Both \u03c0 and r are positive, thus area is always a positive value.<\/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-2-42397642-9c6c-4455-80a8-225ee91dc368\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-42397642-9c6c-4455-80a8-225ee91dc368\"><strong>Is the radius of a circle a negative or a positive value?<\/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-2-42397642-9c6c-4455-80a8-225ee91dc368\">\n\n<p class=\"wp-block-paragraph\">The radius of a circle is always a positive value and not a negative one. The radius of a circle is the distance from the center to any point on its boundary. It is always a positive value as per its definition.<\/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-3-42397642-9c6c-4455-80a8-225ee91dc368\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-42397642-9c6c-4455-80a8-225ee91dc368\"><strong>Is the area and circumference of a circle directly proportional to the radius?<\/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-3-42397642-9c6c-4455-80a8-225ee91dc368\">\n\n<p class=\"wp-block-paragraph\">The area of a circle is directly proportional to the square of radius. The circumference of a circle is directly proportional to the radius.<\/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-4-42397642-9c6c-4455-80a8-225ee91dc368\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-42397642-9c6c-4455-80a8-225ee91dc368\"><strong>What is meant by the surface area of a circle?<\/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-4-42397642-9c6c-4455-80a8-225ee91dc368\">\n\n<p class=\"wp-block-paragraph\">The surface area is a term used in reference with three-dimensional objects. It refers to the total area of all its faces or surfaces. A circle is a plane two-dimensional shape, so it does not have a &#8220;surface area&#8221;; instead, it just has an area. So, the surface area of a circle is nothing but its area.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is the Area of a Circle? The area of a circle is the region occupied by the circle within its boundary (circumference) in a 2D plane.&nbsp; If the radius of a circle is r, the area is defined as A = \u03c0r2, where is a mathematical constant with approximate value of 3.14 or $\\frac{22}{7}$.&nbsp; &#8230; <a title=\"Area of a Circle &#8211; Definition, Formula, Derivation, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/area-of-a-circle\" aria-label=\"More on Area of a Circle &#8211; Definition, Formula, Derivation, Examples, FAQs\">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-36434","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\/36434","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=36434"}],"version-history":[{"count":6,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/36434\/revisions"}],"predecessor-version":[{"id":36450,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/36434\/revisions\/36450"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=36434"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=36434"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=36434"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}