The correct answer is 50\u03c0 cm\u00b2.<\/p>\n\n\n\n
To find the total area of the shaded region, we must first calculate the area of the large outer circle and then subtract the combined area of the two smaller, unshaded circles within it.<\/p>\n\n\n\n
First, let’s determine the area of the large circle. The problem states that the radius of the large circle is 10 cm. The formula for the area of a circle is A = \u03c0r\u00b2, where ‘r’ is the radius. By substituting the given radius into this formula, we find the area of the large circle is \u03c0 multiplied by (10 cm)\u00b2, which equals 100\u03c0 cm\u00b2.<\/p>\n\n\n\n
Next, we need to find the area of the two smaller circles. From the image, we can see that the diameters of the two identical smaller circles lie along the diameter of the large circle. The diameter of the large circle is twice its radius, so it is 2 * 10 cm = 20 cm. Since the two small circles span this length, the diameter of each small circle must be half of the large circle’s diameter, which is 20 cm \/ 2 = 10 cm. Therefore, the radius of each small circle is half of its diameter, or 10 cm \/ 2 = 5 cm.<\/p>\n\n\n\n
Now we can calculate the area of one small circle using the same area formula, A = \u03c0r\u00b2. With a radius of 5 cm, the area of one small circle is \u03c0 multiplied by (5 cm)\u00b2, which results in 25\u03c0 cm\u00b2. Since there are two identical unshaded circles, their total area is 2 * 25\u03c0 cm\u00b2, which is 50\u03c0 cm\u00b2.<\/p>\n\n\n\n
Finally, to find the area of the shaded region, we subtract the total area of the two small circles from the area of the large circle. This calculation is 100\u03c0 cm\u00b2 – 50\u03c0 cm\u00b2.<\/p>\n\n\n\n The resulting total area for the shaded region is 50\u03c0 cm\u00b2.<\/p>\n\n\n\n <\/p>\n","protected":false},"excerpt":{"rendered":" Find the total area of the shaded region sho The total area of the shaded region is Ok The Correct Answer and Explanation is: The correct answer is 50\u03c0 cm\u00b2. To find the total area of the shaded region, we must first calculate the area of the large outer circle and then subtract the combined […]<\/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-260754","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/260754","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=260754"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/260754\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=260754"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=260754"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=260754"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-1064.jpeg\")
<\/figure>\n\n\n\n