{"id":8896,"date":"2021-12-06T20:02:22","date_gmt":"2021-12-06T14:32:22","guid":{"rendered":"https:\/\/mathemerize.com\/?p=8896"},"modified":"2022-01-16T17:11:52","modified_gmt":"2022-01-16T11:41:52","slug":"area-of-a-circle-and-semicircle","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/area-of-a-circle-and-semicircle\/","title":{"rendered":"Area of a Circle and Semicircle &#8211; Formula and Examples"},"content":{"rendered":"<p>Here you will learn what is the formula for the area of circle and semicircle with examples.<\/p>\n<p>Let&#8217;s begin &#8211;<\/p>\n<h2>Area of a Circle Formula<\/h2>\n<blockquote>\n<p>Area = \\(\\pi r^2\\)<\/p>\n<p>where r is the radius of the circle.<\/p>\n<\/blockquote>\n<h2>Area of Semicircle Formula<\/h2>\n<blockquote>\n<p>Area of Semicircle = \\({1\\over 2} \\pi r^2\\)<\/p>\n<p>where r is the radius of the circle.<\/p>\n<\/blockquote>\n<p>Also Read : <a class=\"row-title\" href=\"https:\/\/mathemerize.com\/formula-for-circumference-of-circle\/\" aria-label=\"\u201cFormula for Circumference of Circle (Perimeter) \u2013 Examples\u201d (Edit)\">Formula for Circumference of Circle (Perimeter) \u2013 Examples<\/a><\/p>\n<p><strong><span style=\"color: #3498db;\">Example<\/span><\/strong> : Find the area of semicircle whose radius is 7 cm.<\/p>\n<p><span style=\"color: #3498db;\"><strong>Solution<\/strong><\/span> : Here, radius = 7 cm<\/p>\n<p>Area of the semicircle = \\({1\\over 2} \\pi r^2\\)<\/p>\n<p>= \\({1\\over 2} \\times {22\\over 7} \\times 7^2\\) = 77 \\(cm^2\\)<\/p>\n<p><span style=\"color: #3498db;\"><strong>Example<\/strong><\/span> : Find the area of a circular park whose circumference is 22 m.<\/p>\n<p><strong><span style=\"color: #3498db;\">Solution<\/span><\/strong> : Let the radius of the circle = r meter<\/p>\n<p>The circumference of the circle = 22 m (given)<\/p>\n<p>We know that <a href=\"https:\/\/mathemerize.com\/formula-for-circumference-of-circle\/\">formula for the circumference<\/a> is \\(2\\pi r\\).<\/p>\n<p>\\(\\implies\\)&nbsp; &nbsp;\\(2\\pi r\\) = 22<\/p>\n<p>\\(\\implies\\)&nbsp; &nbsp;r = \\(22\\over 2\\pi\\) = \\(22 \\times 7\\over 2 \\times 22\\) = \\(7\\over 2\\) m<\/p>\n<p>Hence, Area = \\(\\pi r^2\\) = \\(22\\over 7\\) \\(\\times\\) \\(7\\over 2\\) \\(\\times\\) \\(7\\over 2\\) = 38.5 \\(m^2\\)<\/p>\n<p><span style=\"color: #3498db;\"><strong>Example<\/strong><\/span> : If the area and perimeter of the circle are numerically equal, then find the radius of the circle.<\/p>\n<p><strong><span style=\"color: #3498db;\">Solution<\/span><\/strong> : Let the radius of the circle = r<\/p>\n<p>Then, Perimeter of the circle = \\(2\\pi r\\)<\/p>\n<p>And the area of the circle = \\(\\pi r^2\\)<\/p>\n<p>According to the question,<\/p>\n<p>Area of the circle = Perimeter of the circle<\/p>\n<p>\\(\\implies\\)&nbsp; \\(\\pi r^2\\) = \\(2\\pi r\\)<\/p>\n<p>Hence, the radius of the circle is 2 units.<\/p>\n\n\n<div class=\"wp-block-buttons is-content-justification-right is-layout-flex\">\n<div class=\"wp-block-button has-custom-font-size has-small-font-size\"><a class=\"wp-block-button__link\" href=\"https:\/\/mathemerize.com\/area-of-a-ring\/\">Next &#8211; Area of a Ring &#8211; Formula and Examples<\/a><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-left is-layout-flex\">\n<div class=\"wp-block-button has-custom-font-size has-small-font-size\"><a class=\"wp-block-button__link\" href=\"https:\/\/mathemerize.com\/formula-for-circumference-of-circle\/\">Previous &#8211; Formula for Circumference of Circle (Perimeter)<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Here you will learn what is the formula for the area of circle and semicircle with examples. Let&#8217;s begin &#8211; Area of a Circle Formula Area = \\(\\pi r^2\\) where r is the radius of the circle. Area of Semicircle Formula Area of Semicircle = \\({1\\over 2} \\pi r^2\\) where r is the radius of &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathemerize.com\/area-of-a-circle-and-semicircle\/\"> <span class=\"screen-reader-text\">Area of a Circle and Semicircle &#8211; Formula and Examples<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[63],"tags":[704,703,705,706],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.12 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Area of a Circle and Semicircle - Formula and Examples<\/title>\n<meta name=\"description\" content=\"In this post you will learn what is the formula for the area of a circle and semicircle with examples.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemerize.com\/area-of-a-circle-and-semicircle\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Area of a Circle and Semicircle - Formula and Examples\" \/>\n<meta property=\"og:description\" content=\"In this post you will learn what is the formula for the area of a circle and semicircle with examples.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathemerize.com\/area-of-a-circle-and-semicircle\/\" \/>\n<meta property=\"og:site_name\" content=\"Mathemerize\" \/>\n<meta property=\"article:published_time\" content=\"2021-12-06T14:32:22+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-01-16T11:41:52+00:00\" \/>\n<meta name=\"author\" content=\"mathemerize\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"mathemerize\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathemerize.com\/area-of-a-circle-and-semicircle\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathemerize.com\/area-of-a-circle-and-semicircle\/\"},\"author\":{\"name\":\"mathemerize\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df\"},\"headline\":\"Area of a Circle and Semicircle &#8211; 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