{"id":244281,"date":"2025-07-05T03:26:24","date_gmt":"2025-07-05T03:26:24","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=244281"},"modified":"2025-07-05T03:26:25","modified_gmt":"2025-07-05T03:26:25","slug":"find-the-area-of-a-circle-in-terms-of-ie-if-the-diameter-is-6","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/05\/find-the-area-of-a-circle-in-terms-of-ie-if-the-diameter-is-6\/","title":{"rendered":"Find the area of a circle in terms of \u00cf\u20ac if the diameter is 6"},"content":{"rendered":"\n<p>Find the area of a circle in terms of \u00cf\u20ac if the diameter is 6. A. 3\u00cf\u20ac B. 6\u00cf\u20ac C. 9\u00cf\u20ac D. 36\u00cf\u20ac E. None of the above<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The formula for the area of a circle is:A=\u03c0r2A = \\pi r^2A=\u03c0r2<\/p>\n\n\n\n<p>where AAA is the area and rrr is the radius of the circle.<\/p>\n\n\n\n<p>We are given the diameter of the circle, which is 6. The radius rrr is half of the diameter, so:r=62=3r = \\frac{6}{2} = 3r=26\u200b=3<\/p>\n\n\n\n<p>Now, using the formula for the area of a circle, we substitute the value of rrr:A=\u03c0(3)2=\u03c0\u00d79=9\u03c0A = \\pi (3)^2 = \\pi \\times 9 = 9\\piA=\u03c0(3)2=\u03c0\u00d79=9\u03c0<\/p>\n\n\n\n<p>Thus, the area of the circle is 9\u03c09\\pi9\u03c0.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>The correct answer is <strong>C. 9\u03c0<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The area of any circle is found using the formula A=\u03c0r2A = \\pi r^2A=\u03c0r2.<\/li>\n\n\n\n<li>The diameter is 6, so the radius is 3.<\/li>\n\n\n\n<li>Squaring the radius (3) gives 9, and multiplying by \u03c0\\pi\u03c0 results in 9\u03c09\\pi9\u03c0.<\/li>\n\n\n\n<li>Therefore, the area of the circle is 9\u03c09\\pi9\u03c0, which corresponds to option C.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-419.jpeg\" alt=\"\" class=\"wp-image-244282\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Find the area of a circle in terms of \u00cf\u20ac if the diameter is 6. A. 3\u00cf\u20ac B. 6\u00cf\u20ac C. 9\u00cf\u20ac D. 36\u00cf\u20ac E. None of the above The Correct Answer and Explanation is: The formula for the area of a circle is:A=\u03c0r2A = \\pi r^2A=\u03c0r2 where AAA is the area and rrr is the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","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":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-244281","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244281","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=244281"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/244281\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=244281"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=244281"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=244281"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}