{"id":40952,"date":"2025-06-27T21:38:49","date_gmt":"2025-06-27T21:38:49","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=40952"},"modified":"2025-06-27T21:38:50","modified_gmt":"2025-06-27T21:38:50","slug":"find-area-of-shaded-region-5cm-20-cm-area-shaded","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/find-area-of-shaded-region-5cm-20-cm-area-shaded\/","title":{"rendered":"Find area of shaded region: 5cm 20 Cm Area shaded"},"content":{"rendered":"\n<p>Find area of shaded region: 5cm 20 Cm Area shaded<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"700\" height=\"449\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-423.png\" alt=\"\" class=\"wp-image-40953\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-423.png 700w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-423-300x192.png 300w\" sizes=\"auto, (max-width: 700px) 100vw, 700px\" \/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To determine the area of the shaded region in the figure provided, we analyze it as a rectangle that encloses two identical circles. The shaded area is the part of the rectangle that is not covered by the circles.<\/p>\n\n\n\n<p><strong>Step 1: Calculate the area of the rectangle<\/strong><\/p>\n\n\n\n<p>The length of the rectangle is given as 20 cm. The width is not labeled directly, but we observe from the circles that the radius of each is 5 cm. Since the circles lie perfectly within the rectangle&#8217;s width, the width is equal to the diameter of one circle, which is 2 times the radius. Thus, Width = 2 \u00d7 5 cm = 10 cm.<\/p>\n\n\n\n<p>Area of the rectangle = length \u00d7 width = 20 cm \u00d7 10 cm = 200 square centimeters.<\/p>\n\n\n\n<p><strong>Step 2: Calculate the combined area of the two circles<\/strong><\/p>\n\n\n\n<p>The area of a circle is given by the formula A = \u03c0r\u00b2. Here, the radius r = 5 cm. Area of one circle = \u03c0 \u00d7 (5 cm)\u00b2 = 25\u03c0 square cm Area of two circles = 2 \u00d7 25\u03c0 = 50\u03c0 square centimeters.<\/p>\n\n\n\n<p><strong>Step 3: Find the area of the shaded region<\/strong><\/p>\n\n\n\n<p>To obtain the shaded area, subtract the combined area of the circles from the area of the rectangle: Shaded area = 200 \u2212 50\u03c0 square centimeters.<\/p>\n\n\n\n<p>Using an approximation of \u03c0 \u2248 3.14, 50\u03c0 \u2248 157 square cm So, shaded area \u2248 200 \u2212 157 = 43 square centimeters.<\/p>\n\n\n\n<p><strong>Final Answer:<\/strong> The area of the shaded region is <strong>200 \u2212 50\u03c0 cm\u00b2<\/strong>, or approximately <strong>43 cm\u00b2<\/strong>.<\/p>\n\n\n\n<p>This approach brings together concepts from geometry, including calculating areas of rectangles and circles, and reinforces how composite figures can be broken into simpler shapes. By analyzing the configuration, recognizing proportional relationships, and applying standard area formulas, we isolate and compute the desired region with clarity and precision.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1291.jpeg\" alt=\"\" class=\"wp-image-40955\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1291.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1291-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1291-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Find area of shaded region: 5cm 20 Cm Area shaded The Correct Answer and Explanation is: To determine the area of the shaded region in the figure provided, we analyze it as a rectangle that encloses two identical circles. The shaded area is the part of the rectangle that is not covered by the circles. [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-40952","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/40952","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=40952"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/40952\/revisions"}],"predecessor-version":[{"id":40956,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/40952\/revisions\/40956"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=40952"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=40952"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=40952"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}