{"id":166938,"date":"2024-04-22T14:34:47","date_gmt":"2024-04-22T09:04:47","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=166938"},"modified":"2024-04-22T14:34:50","modified_gmt":"2024-04-22T09:04:50","slug":"in-the-figure-pqr-is-a-right-angle-triangle-with-angle-q-90-qr-17-5-cm-and-pq-42-cm-with-pr-as-a-diameter-of-a-semicircle","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/in-the-figure-pqr-is-a-right-angle-triangle-with-angle-q-90-qr-17-5-cm-and-pq-42-cm-with-pr-as-a-diameter-of-a-semicircle\/","title":{"rendered":"In the figure, PQR is a right angle triangle with angle Q = 90, QR = 17.5 cm and PQ = 42 cm, with PR as a diameter of a semicircle"},"content":{"rendered":"\n

In the figure, PQR is a right angle triangle with angle Q = 90, QR = 17.5 cm and PQ = 42 cm, with PR as a diameter of a semicircle and with QR as radius, a quarter circle is drawn. Find th e area of the shaded portion correct to two decimal places<\/p>\n\n\n\n

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

(a) 3380.125 cm\u00b2<\/strong><\/p>\n\n\n\n

(b) 3540.251<\/p>\n\n\n\n

(c) 3850.752 cm\u00b2<\/p>\n\n\n\n

(d) 3284.25<\/p>\n\n\n\n

\u00a0Sol:<\/p>\n\n\n\n

Area of shaded portion = area of semicircle of base PR + area of \u2206PQR \u2013 area of quarter circle of radius<\/p>\n\n\n\n

QR<\/p>\n\n\n\n

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

In the figure, PQR is a right angle triangle with angle Q = 90, QR = 17.5 cm and PQ = 42 cm, with PR as a diameter of a semicircle and with QR as radius, a quarter circle is drawn. Find th e area of the shaded portion correct to two decimal places (a) […]<\/p>\n","protected":false},"author":419,"featured_media":166947,"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-166938","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\/166938","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=166938"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166938\/revisions"}],"predecessor-version":[{"id":166948,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/166938\/revisions\/166948"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/166947"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=166938"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=166938"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=166938"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}