Convert 7\u03c0\/10 from radians to degrees.<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To convert an angle from radians to degrees, we use the relationship between these two units of measurement. The fundamental conversion factor is that (180^\\circ) is equivalent to (\\pi) radians. Therefore, to convert radians to degrees, we can multiply the radian measure by (\\frac{180^\\circ}{\\pi}).<\/p>\n\n\n\n In this case, we have the angle ( \\frac{7\\pi}{10} ) radians that we want to convert to degrees. Here are the steps involved in the conversion:<\/p>\n\n\n\n Thus, the conversion of ( \\frac{7\\pi}{10} ) radians to degrees results in (126^\\circ).<\/p>\n\n\n\n In summary, converting radians to degrees is a straightforward process involving multiplication by ( \\frac{180^\\circ}{\\pi} ). This conversion is essential in various applications such as geometry, physics, and engineering, where angles need to be expressed in a more intuitive form (degrees) instead of the mathematical form (radians). Understanding this conversion allows for easier interpretation of angle measures in real-world contexts.<\/p>\n","protected":false},"excerpt":{"rendered":" Convert 7\u03c0\/10 from radians to degrees. The Correct Answer and Explanation is: To convert an angle from radians to degrees, we use the relationship between these two units of measurement. The fundamental conversion factor is that (180^\\circ) is equivalent to (\\pi) radians. Therefore, to convert radians to degrees, we can multiply the radian measure by […]<\/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-159117","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/159117","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=159117"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/159117\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=159117"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=159117"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=159117"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n
[
\\text{Degrees} = \\frac{7\\pi}{10} \\times \\frac{180^\\circ}{\\pi}
]<\/li>\n\n\n\n
[
\\text{Degrees} = \\frac{7 \\times 180^\\circ}{10}
]<\/li>\n\n\n\n
[
7 \\times 180 = 1260
]
So now we have:
[
\\text{Degrees} = \\frac{1260^\\circ}{10}
]<\/li>\n\n\n\n
[
\\text{Degrees} = 126^\\circ
]<\/li>\n<\/ol>\n\n\n\n