{"id":134807,"date":"2023-03-21T16:22:03","date_gmt":"2023-03-21T10:52:03","guid":{"rendered":"https:\/\/www.mapsofindia.com\/my-india\/?p=134807"},"modified":"2023-03-21T16:22:03","modified_gmt":"2023-03-21T10:52:03","slug":"find-the-area-of-the-sector-of-a-circle-of-radius-7-cm-and-of-central-angle-90-also-find-the-area-of-corresponding-major-sector","status":"publish","type":"post","link":"https:\/\/www.mapsofindia.com\/my-india\/quiz\/find-the-area-of-the-sector-of-a-circle-of-radius-7-cm-and-of-central-angle-90-also-find-the-area-of-corresponding-major-sector","title":{"rendered":"Find the area of the sector of a circle of radius 7 cm and of central angle 90\u00b0. Also, find the area of corresponding major sector."},"content":{"rendered":"

Question :Find the area of the sector of a circle of radius 7 cm and of central angle 90\u00b0. Also, find the area of corresponding major sector.<\/h2>\n

The correct answer :The area of a sector of a circle is given by:<\/h3>\n

Area of sector = (\u03b8\/360) x \u03c0r^2<\/h3>\n

where \u03b8 is the central angle in degrees and r is the radius of the circle.<\/h3>\n

Given, the radius of the circle is 7 cm and the central angle is 90\u00b0.<\/h3>\n

Area of sector = (90\/360) x \u03c0(7)^2 = (1\/4) x 49\u03c0 = 12.25\u03c0 \u2248 38.48 cm^2<\/h3>\n

To find the area of the corresponding major sector, we subtract the area of the minor sector from the area of the whole circle.<\/h3>\n

The area of the whole circle = \u03c0r^2 = \u03c0(7)^2 = 49\u03c0<\/h3>\n

Area of major sector = \u03c0r^2 – area of minor sector = 49\u03c0 – 12.25\u03c0 = 36.75\u03c0 \u2248 115.27 cm^2<\/h3>\n

Therefore, the area of the major sector is approximately 115.27 cm^2.<\/h3>\n","protected":false},"excerpt":{"rendered":"

Question :Find the area of the sector of a circle of radius 7 cm and of central angle 90\u00b0. Also, find the area of corresponding major sector. The correct answer :The area of a sector of a circle is given by: Area of sector = (\u03b8\/360) x \u03c0r^2 where \u03b8 is the central angle in […]<\/p>\n","protected":false},"author":21842,"featured_media":132233,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12119],"tags":[],"class_list":{"0":"post-134807","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-quiz"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/134807","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/users\/21842"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/comments?post=134807"}],"version-history":[{"count":1,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/134807\/revisions"}],"predecessor-version":[{"id":134808,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/posts\/134807\/revisions\/134808"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media\/132233"}],"wp:attachment":[{"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/media?parent=134807"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/categories?post=134807"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.mapsofindia.com\/my-india\/wp-json\/wp\/v2\/tags?post=134807"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}