The perimeter of a quarter circle is 3.57 kilometers. What is the quarter circle’s radius? Use 3.14 for . kilometers Siubmit explain<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To find the radius of a quarter circle when the perimeter is given, we first need to understand the components that make up the perimeter of a quarter circle. The perimeter (P) of a quarter circle includes two straight sides (the radius) and the curved part (the arc).<\/p>\n\n\n\n This result shows that a quarter circle with a total perimeter of 3.57 kilometers has a radius of 1 kilometer. Understanding the formula and how to manipulate it is crucial when working with geometric shapes and their properties.<\/p>\n","protected":false},"excerpt":{"rendered":" The perimeter of a quarter circle is 3.57 kilometers. What is the quarter circle’s radius? Use 3.14 for . kilometers Siubmit explain The Correct Answer and Explanation is : To find the radius of a quarter circle when the perimeter is given, we first need to understand the components that make up the perimeter of […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","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-5)","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-5)","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-5)","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":[25],"tags":[],"class_list":["post-146212","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/146212","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=146212"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/146212\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=146212"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=146212"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=146212"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n
The formula for the perimeter (P) of a quarter circle can be expressed as:
[
P = r + r + \\frac{1}{4}(2\\pi r)
]
Here:<\/li>\n<\/ol>\n\n\n\n\n
[
\\frac{1}{4}(2\\pi r) = \\frac{\\pi r}{2}
]
Thus, the complete formula for the perimeter becomes:
[
P = 2r + \\frac{\\pi r}{2}
]<\/li>\n<\/ul>\n\n\n\n\n
We know that the perimeter (P) is 3.57 kilometers, and we can substitute this value into the equation:
[
3.57 = 2r + \\frac{3.14r}{2}
]<\/li>\n\n\n\n
To eliminate the fraction, multiply the entire equation by 2:
[
2 \\times 3.57 = 4r + 3.14r
]
This simplifies to:
[
7.14 = 4r + 3.14r
]
Combining like terms, we get:
[
7.14 = 7.14r
]
Dividing both sides by 7.14 gives:
[
r = 1
]<\/li>\n\n\n\n
Therefore, the radius of the quarter circle is 1 kilometer<\/strong>.<\/li>\n<\/ol>\n\n\n\n