{"id":158437,"date":"2023-09-11T11:28:02","date_gmt":"2023-09-11T05:58:02","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=158437"},"modified":"2023-09-11T11:28:11","modified_gmt":"2023-09-11T05:58:11","slug":"a-wire-would-enclose-an-area-of-1936-m2-if-it-is-bent-into-a-square","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/a-wire-would-enclose-an-area-of-1936-m2-if-it-is-bent-into-a-square\/","title":{"rendered":"A wire would enclose an area of 1936 m2, if it is bent into a square"},"content":{"rendered":"\n

Q. A wire would enclose an area of 1936 m2<\/sup>, if it is bent into a square. The wire is cut into two pieces. The longer piece is thrice as long as the shorter piece. The long and the short pieces are bent into a square and a circle, respectively. Which of the following choices is closest to the sum of the areas enclosed by the two pieces in square meters?<\/p>\n\n\n\n

           (A) 1096             (B) 1111                     (C) 1243                     (D) 2486<\/p>\n\n\n\n

Ans: 1243 <\/p>\n\n\n\n

Sol:<\/p>\n\n\n\n

Area=1936 m2
a2=1936 m2
a=44 m<\/p>\n\n\n\n

Length of wire=4a
=4\u00d744=176 m<\/p>\n\n\n\n

Now, Part\u22121 length
=3\u00d744=132 m<\/p>\n\n\n\n

Part\u22122 length
=1\u00d744=44 m<\/p>\n\n\n\n

Long wire is bent in square<\/p>\n\n\n\n

So, 4a=132
a=33 m<\/p>\n\n\n\n

Area of square=332=1089 m2<\/p>\n\n\n\n

Now, small wire is bent into a circle<\/p>\n\n\n\n

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

Total area enclosed<\/p>\n\n\n\n

=Area of Square+Area of Circle<\/p>\n\n\n\n

=1089+153.94<\/p>\n\n\n\n

=1242.97=1243 m2<\/p>\n","protected":false},"excerpt":{"rendered":"

Q. A wire would enclose an area of 1936 m2, if it is bent into a square. The wire is cut into two pieces. The longer piece is thrice as long as the shorter piece. The long and the short pieces are bent into a square and a circle, respectively. Which of the following choices […]<\/p>\n","protected":false},"author":419,"featured_media":158439,"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":[5141],"tags":[5140],"class_list":["post-158437","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/158437","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=158437"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/158437\/revisions"}],"predecessor-version":[{"id":158440,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/158437\/revisions\/158440"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/158439"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=158437"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=158437"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=158437"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}