{"id":229700,"date":"2025-06-08T11:28:10","date_gmt":"2025-06-08T11:28:10","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=229700"},"modified":"2025-06-08T11:28:12","modified_gmt":"2025-06-08T11:28:12","slug":"question-1-of-10-2-points-what-is-the-approximate-area-of-the-circle-shown-below-a-616-cm","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/08\/question-1-of-10-2-points-what-is-the-approximate-area-of-the-circle-shown-below-a-616-cm\/","title":{"rendered":"Question 1 of 10 2 Points What is the approximate area of the circle shown below? A. 616 cm"},"content":{"rendered":"\n

Question 1 of 10 2 Points What is the approximate area of the circle shown below? A. 616 cm
B. 154 cm
C. 22 cm
D. 44 cm
14 cm C<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

To find the area of the circle<\/strong>, we use the formula:A=\u03c0r2A = \\pi r^2A=\u03c0r2<\/p>\n\n\n\n

From the image, the diameter<\/strong> of the circle is given as 14 cm<\/strong>, which means the radius (r)<\/strong> is half of the diameter:r=142=7 cmr = \\frac{14}{2} = 7 \\text{ cm}r=214\u200b=7 cm<\/p>\n\n\n\n

Now plug the radius into the area formula:A=\u03c0\u00d772=\u03c0\u00d749\u22483.14\u00d749A = \\pi \\times 7^2 = \\pi \\times 49 \\approx 3.14 \\times 49A=\u03c0\u00d772=\u03c0\u00d749\u22483.14\u00d749A\u2248153.86 cm2A \\approx 153.86 \\text{ cm}^2A\u2248153.86 cm2<\/p>\n\n\n\n

Rounded to the nearest whole number:A\u2248154 cm2A \\approx 154 \\text{ cm}^2A\u2248154 cm2<\/p>\n\n\n\n

\n\n\n\n

\u2705 Correct Answer: B. 154 cm\u00b2<\/strong><\/h3>\n\n\n\n
\n\n\n\n

Explanation<\/h3>\n\n\n\n

The problem asks for the approximate area of a circle with a diameter of 14 cm. To find the area, we must first understand that the area of a circle depends on its radius<\/strong>, not the diameter. The radius is half the diameter, so in this case, the radius is:Radius=142=7 cm\\text{Radius} = \\frac{14}{2} = 7 \\text{ cm}Radius=214\u200b=7 cm<\/p>\n\n\n\n

Next, we apply the standard formula for the area of a circle:A=\u03c0r2A = \\pi r^2A=\u03c0r2<\/p>\n\n\n\n

Substituting the radius into the formula gives:A=\u03c0\u00d772=\u03c0\u00d749A = \\pi \\times 7^2 = \\pi \\times 49A=\u03c0\u00d772=\u03c0\u00d749<\/p>\n\n\n\n

Since the problem asks for an approximate area, we use the approximation \u03c0\u22483.14\\pi \\approx 3.14\u03c0\u22483.14:A\u22483.14\u00d749=153.86 cm2A \\approx 3.14 \\times 49 = 153.86 \\text{ cm}^2A\u22483.14\u00d749=153.86 cm2<\/p>\n\n\n\n

This value is approximately 154 cm\u00b2<\/strong>, which matches option B<\/strong>. The other options are either too small or too large to be correct based on the formula.<\/p>\n\n\n\n

Understanding the relationship between the diameter, radius, and area of a circle is crucial in solving such problems. A common mistake is using the diameter directly in the area formula, which would result in an incorrect answer. Always remember that the radius is the key<\/strong> quantity for calculating the area of a circle.<\/p>\n\n\n\n

\"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

Question 1 of 10 2 Points What is the approximate area of the circle shown below? A. 616 cmB. 154 cmC. 22 cmD. 44 cm14 cm C The Correct Answer and Explanation is: To find the area of the circle, we use the formula:A=\u03c0r2A = \\pi r^2A=\u03c0r2 From the image, the diameter of the circle […]<\/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-229700","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/229700","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=229700"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/229700\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=229700"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=229700"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=229700"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}