A large pizza has a diameter of 9 inches. Which of the following is the area of the pizza in terms of pi ()?<\/p>\n\n\n\n
A.
11.25 \u03c0in2<\/p>\n\n\n\n
B.
29.57 \u03c0in2<\/p>\n\n\n\n
C.
18.35 \u03c0in2<\/p>\n\n\n\n
D.
20.25 \u03c0in2<\/p>\n\n\n\n
The Correct answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To solve for the area of the pizza in terms of \u03c0\\pi\u03c0, we need to use the formula for the area of a circle, which is:Area=\u03c0r2\\text{Area} = \\pi r^2Area=\u03c0r2<\/p>\n\n\n\n Here, rrr is the radius of the circle. The problem states that the pizza has a diameter of 9 inches. The radius rrr is half of the diameter, so:r=9 inches2=4.5 inchesr = \\frac{9 \\text{ inches}}{2} = 4.5 \\text{ inches}r=29 inches\u200b=4.5 inches<\/p>\n\n\n\n Next, we substitute the radius into the area formula:Area=\u03c0(4.5)2\\text{Area} = \\pi (4.5)^2Area=\u03c0(4.5)2<\/p>\n\n\n\n Now, calculate 4.524.5^24.52:4.52=4.5\u00d74.5=20.254.5^2 = 4.5 \\times 4.5 = 20.254.52=4.5\u00d74.5=20.25<\/p>\n\n\n\n So, the area of the pizza is:Area=20.25\u03c0 square inches\\text{Area} = 20.25\\pi \\text{ square inches}Area=20.25\u03c0 square inches<\/p>\n\n\n\n Thus, the correct answer is:<\/p>\n\n\n\n D. 20.25 \u03c0\\pi\u03c0 in2^22<\/strong><\/p>\n\n\n\n The area of a circle is determined by the formula \u03c0r2\\pi r^2\u03c0r2, where rrr is the radius. The diameter of a circle is twice the radius, so when given the diameter, you must divide it by 2 to find the radius. In this case, the pizza\u2019s diameter is 9 inches, so the radius is 4.54.54.5 inches. Squaring the radius gives us 20.2520.2520.25 square inches. Therefore, the area of the pizza is 20.25\u03c020.25\\pi20.25\u03c0 square inches.<\/p>\n\n\n\n This problem tests your understanding of the relationship between the diameter, radius, and area of a circle. It also requires you to correctly apply the formula for the area, substituting the radius and ensuring that the calculation of the square of the radius is accurate. By understanding these steps, you can confidently determine the area of any circle, as long as you know either the radius or the diameter.<\/p>\n","protected":false},"excerpt":{"rendered":" A large pizza has a diameter of 9 inches. Which of the following is the area of the pizza in terms of pi ()? A.11.25 \u03c0in2 B.29.57 \u03c0in2 C.18.35 \u03c0in2 D.20.25 \u03c0in2 The Correct answer and Explanation is: To solve for the area of the pizza in terms of \u03c0\\pi\u03c0, we need to use the […]<\/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-134526","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/134526","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=134526"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/134526\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=134526"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=134526"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=134526"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Explanation:<\/h3>\n\n\n\n