{"id":165212,"date":"2024-03-22T15:29:28","date_gmt":"2024-03-22T09:59:28","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=165212"},"modified":"2024-03-22T15:29:30","modified_gmt":"2024-03-22T09:59:30","slug":"as-shown-in-the-given-figure-inside-the-large-semicircle-three-semicircles-with-equal-radii-are-drawn-so-that-their-diameters","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/as-shown-in-the-given-figure-inside-the-large-semicircle-three-semicircles-with-equal-radii-are-drawn-so-that-their-diameters\/","title":{"rendered":"As shown in the given figure, inside the large semicircle, three semicircles (with equal radii) are drawn so that their diameters"},"content":{"rendered":"\n<p> <p class=\"MsoNormal\">As shown in the given figure, inside the large semicircle, three semicircles (with equal radii) are drawn so that their diameters all sit on the large semicircle&#8217;s diameter. What is the ratio between the red and blue areas?<\/p> <\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" width=\"1024\" height=\"474\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-215-1024x474.png\" alt=\"\" class=\"wp-image-165214\" style=\"width:311px;height:auto\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-215-1024x474.png 1024w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-215-300x139.png 300w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-215-767x355.png 767w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-215-1536x711.png 1536w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-215-2048x948.png 2048w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-215-324x150.png 324w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-215-100x46.png 100w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-215-756x350.png 756w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-215-788x364.png 788w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-215.png 363w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p><p class=\"MsoNormal\">a) 1:3<\/p> <p class=\"MsoNormal\"><b>b) 1:2<\/b><\/p> <p class=\"MsoNormal\">c) 1:4<\/p> <p class=\"MsoNormal\">d) 2:3<\/p> <p class=\"MsoNormal\">Sol:<\/p> <p class=\"MsoNormal\">Let the diameter of bigger circle be 6R. <\/p> <p class=\"MsoNormal\">Then the diameters of each small circles = 2R<\/p> <\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" width=\"1024\" height=\"470\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-214-1024x470.png\" alt=\"\" class=\"wp-image-165213\" style=\"width:284px;height:auto\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-214-1024x470.png 1024w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-214-300x138.png 300w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-214-766x352.png 766w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-214-1536x706.png 1536w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-214-2048x941.png 2048w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-214-327x150.png 327w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-214-100x46.png 100w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-214-762x350.png 762w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-214-788x361.png 788w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2024\/03\/image-214.png 320w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>As shown in the given figure, inside the large semicircle, three semicircles (with equal radii) are drawn so that their diameters all sit on the large semicircle&#8217;s diameter. What is the ratio between the red and blue areas? a) 1:3 b) 1:2 c) 1:4 d) 2:3 Sol: Let the diameter of bigger circle be 6R. [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":165215,"comment_status":"open","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-4)","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-4)","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-4)","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":[5138],"tags":[5139],"class_list":["post-165212","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantitative-aptitude","tag-quantitative-aptitude"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/165212","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=165212"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/165212\/revisions"}],"predecessor-version":[{"id":165216,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/165212\/revisions\/165216"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/165215"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=165212"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=165212"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=165212"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}