{"id":259279,"date":"2025-07-18T20:23:00","date_gmt":"2025-07-18T20:23:00","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=259279"},"modified":"2025-07-18T20:23:02","modified_gmt":"2025-07-18T20:23:02","slug":"the-diameter-of-a-circle-is-8-inches-3","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/18\/the-diameter-of-a-circle-is-8-inches-3\/","title":{"rendered":"The diameter of a circle is 8 inches."},"content":{"rendered":"\n<p>The diameter of a circle is 8 inches. Find the area in terms of pi.<\/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>To find the area of a circle when the diameter is given, we use the formula for the area of a circle:A=\u03c0r2A = \\pi r^2A=\u03c0r2<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>AAA is the area,<\/li>\n\n\n\n<li>rrr is the radius of the circle,<\/li>\n\n\n\n<li>\u03c0\\pi\u03c0 is approximately 3.14159, but we will leave it as \u03c0\\pi\u03c0 for the exact form.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Find the radius<\/h3>\n\n\n\n<p>The radius rrr is half of the diameter. Since the diameter is 8 inches, we divide it by 2 to get the radius:r=82=4\u2009inchesr = \\frac{8}{2} = 4 \\, \\text{inches}r=28\u200b=4inches<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Apply the radius to the area formula<\/h3>\n\n\n\n<p>Now that we know the radius is 4 inches, we substitute this value into the area formula:A=\u03c0r2=\u03c0(4)2=\u03c0\u00d716A = \\pi r^2 = \\pi (4)^2 = \\pi \\times 16A=\u03c0r2=\u03c0(4)2=\u03c0\u00d716<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Simplify the expression<\/h3>\n\n\n\n<p>The area is:A=16\u03c0\u2009square&nbsp;inchesA = 16\\pi \\, \\text{square inches}A=16\u03c0square&nbsp;inches<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>The area of the circle, in terms of \u03c0\\pi\u03c0, is 16\u03c016\\pi16\u03c0 square inches. This result expresses the exact area of the circle without approximating \u03c0\\pi\u03c0. If you wanted to find an approximate value, you could substitute \u03c0\u22483.14159\\pi \\approx 3.14159\u03c0\u22483.14159, but in this case, the exact expression 16\u03c016\\pi16\u03c0 is preferred.<\/p>\n\n\n\n<p>This method demonstrates how the relationship between diameter and radius is crucial when solving for properties like area. By remembering that the radius is half the diameter, you can easily substitute into the formula to find the area of any circle.<\/p>\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-banner6-927.jpeg\" alt=\"\" class=\"wp-image-259280\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The diameter of a circle is 8 inches. Find the area in terms of pi. The Correct Answer and Explanation is: To find the area of a circle when the diameter is given, we use the formula for the area of a circle:A=\u03c0r2A = \\pi r^2A=\u03c0r2 Where: Step 1: Find the radius The radius rrr [&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-259279","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/259279","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=259279"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/259279\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=259279"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=259279"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=259279"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}