{"id":254240,"date":"2025-07-12T12:13:05","date_gmt":"2025-07-12T12:13:05","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=254240"},"modified":"2025-07-12T12:13:08","modified_gmt":"2025-07-12T12:13:08","slug":"find-the-exact-circumference-in-inches-and-area-in-square-inches-of-a-circle-whose-diameter-has-length-18-in","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/12\/find-the-exact-circumference-in-inches-and-area-in-square-inches-of-a-circle-whose-diameter-has-length-18-in\/","title":{"rendered":"Find the exact circumference (in inches) and area (in square inches) of a circle whose diameter has length 18 in."},"content":{"rendered":"\n<p>Find the exact circumference (in inches) and area (in square inches) of a circle whose diameter has length 18 in. circumference 56.52 X area 254.34 in2 X Need Help? Read It<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find the circumference and area of a circle, we use two key formulas:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Circumference<\/strong> formula: C=\u03c0\u00d7dC = \\pi \\times dC=\u03c0\u00d7d where CCC is the circumference and ddd is the diameter.<\/li>\n\n\n\n<li><strong>Area<\/strong> formula: A=\u03c0\u00d7r2A = \\pi \\times r^2A=\u03c0\u00d7r2 where AAA is the area and rrr is the radius.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Given Data<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Diameter of the circle, d=18d = 18d=18 inches.<\/li>\n<\/ul>\n\n\n\n<p>From the diameter, we can calculate the radius rrr, since the radius is half the diameter: r=d2=182=9&nbsp;inchesr = \\frac{d}{2} = \\frac{18}{2} = 9 \\text{ inches}r=2d\u200b=218\u200b=9&nbsp;inches<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Calculate the Circumference<\/h3>\n\n\n\n<p>Now, we can use the <strong>circumference formula<\/strong>: C=\u03c0\u00d7d=\u03c0\u00d718C = \\pi \\times d = \\pi \\times 18C=\u03c0\u00d7d=\u03c0\u00d718<\/p>\n\n\n\n<p>Using the approximation \u03c0\u22483.1416\\pi \\approx 3.1416\u03c0\u22483.1416: C\u22483.1416\u00d718\u224856.5488&nbsp;inchesC \\approx 3.1416 \\times 18 \\approx 56.5488 \\text{ inches}C\u22483.1416\u00d718\u224856.5488&nbsp;inches<\/p>\n\n\n\n<p>So, the circumference is approximately <strong>56.55 inches<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Calculate the Area<\/h3>\n\n\n\n<p>Next, we use the <strong>area formula<\/strong>: A=\u03c0\u00d7r2=\u03c0\u00d7(9)2A = \\pi \\times r^2 = \\pi \\times (9)^2A=\u03c0\u00d7r2=\u03c0\u00d7(9)2 A=\u03c0\u00d781\u22483.1416\u00d781\u2248254.4696&nbsp;square&nbsp;inchesA = \\pi \\times 81 \\approx 3.1416 \\times 81 \\approx 254.4696 \\text{ square inches}A=\u03c0\u00d781\u22483.1416\u00d781\u2248254.4696&nbsp;square&nbsp;inches<\/p>\n\n\n\n<p>So, the area is approximately <strong>254.47 square inches<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The <strong>circumference<\/strong> of the circle is approximately <strong>56.55 inches<\/strong>.<\/li>\n\n\n\n<li>The <strong>area<\/strong> of the circle is approximately <strong>254.47 square inches<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p>Both results are rounded to two decimal places. These values are based on using \u03c0\u22483.1416\\pi \\approx 3.1416\u03c0\u22483.1416.<\/p>\n\n\n\n<p>To find the circumference and area of a circle, we use two key formulas:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Circumference<\/strong> formula: C=\u03c0\u00d7dC = \\pi \\times dC=\u03c0\u00d7d where CCC is the circumference and ddd is the diameter.<\/li>\n\n\n\n<li><strong>Area<\/strong> formula: A=\u03c0\u00d7r2A = \\pi \\times r^2A=\u03c0\u00d7r2 where AAA is the area and rrr is the radius.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Given Data<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Diameter of the circle, d=18d = 18d=18 inches.<\/li>\n<\/ul>\n\n\n\n<p>From the diameter, we can calculate the radius rrr, since the radius is half the diameter: r=d2=182=9&nbsp;inchesr = \\frac{d}{2} = \\frac{18}{2} = 9 \\text{ inches}r=2d\u200b=218\u200b=9&nbsp;inches<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Calculate the Circumference<\/h3>\n\n\n\n<p>Now, we can use the <strong>circumference formula<\/strong>: C=\u03c0\u00d7d=\u03c0\u00d718C = \\pi \\times d = \\pi \\times 18C=\u03c0\u00d7d=\u03c0\u00d718<\/p>\n\n\n\n<p>Using the approximation \u03c0\u22483.1416\\pi \\approx 3.1416\u03c0\u22483.1416: C\u22483.1416\u00d718\u224856.5488&nbsp;inchesC \\approx 3.1416 \\times 18 \\approx 56.5488 \\text{ inches}C\u22483.1416\u00d718\u224856.5488&nbsp;inches<\/p>\n\n\n\n<p>So, the circumference is approximately <strong>56.55 inches<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Calculate the Area<\/h3>\n\n\n\n<p>Next, we use the <strong>area formula<\/strong>: A=\u03c0\u00d7r2=\u03c0\u00d7(9)2A = \\pi \\times r^2 = \\pi \\times (9)^2A=\u03c0\u00d7r2=\u03c0\u00d7(9)2 A=\u03c0\u00d781\u22483.1416\u00d781\u2248254.4696&nbsp;square&nbsp;inchesA = \\pi \\times 81 \\approx 3.1416 \\times 81 \\approx 254.4696 \\text{ square inches}A=\u03c0\u00d781\u22483.1416\u00d781\u2248254.4696&nbsp;square&nbsp;inches<\/p>\n\n\n\n<p>So, the area is approximately <strong>254.47 square inches<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The <strong>circumference<\/strong> of the circle is approximately <strong>56.55 inches<\/strong>.<\/li>\n\n\n\n<li>The <strong>area<\/strong> of the circle is approximately <strong>254.47 square inches<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p>Both results are rounded to two decimal places. These values are based on using \u03c0\u22483.1416\\pi \\approx 3.1416\u03c0\u22483.1416.<\/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-banner6-373.jpeg\" alt=\"\" class=\"wp-image-254241\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Find the exact circumference (in inches) and area (in square inches) of a circle whose diameter has length 18 in. circumference 56.52 X area 254.34 in2 X Need Help? Read It The Correct Answer and Explanation is: To find the circumference and area of a circle, we use two key formulas: Step 1: Given Data [&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-254240","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/254240","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=254240"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/254240\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=254240"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=254240"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=254240"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}