If the circumference of a circle is 21 inches, what is the diameter? Use 3.14 for and round your answer to the nearest hundredth.<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To find the diameter of a circle when given the circumference, we can use the formula for the circumference of a circle:<\/p>\n\n\n\n [ where:<\/p>\n\n\n\n We are given the circumference ( C = 21 ) inches, and we need to solve for ( d ).<\/p>\n\n\n\n We want to solve for ( d ), so we rearrange the formula to isolate ( d ):<\/p>\n\n\n\n [ Now, substitute the given value for ( C ) (which is 21 inches) and the approximation for ( \\pi ) (3.14):<\/p>\n\n\n\n [ Now, divide 21 by 3.14:<\/p>\n\n\n\n [ Since the problem asks for the diameter to be rounded to the nearest hundredth, we round 6.693 to two decimal places:<\/p>\n\n\n\n [ The diameter of the circle is approximately 6.69 inches<\/strong>.<\/p>\n\n\n\n The formula for the circumference of a circle relates the circumference to the diameter by multiplying the diameter by ( \\pi ), a mathematical constant approximately equal to 3.14. To solve for the diameter when the circumference is known, we simply rearrange the formula to divide the circumference by ( \\pi ). By dividing 21 inches by 3.14, we find the diameter to be about 6.693 inches. After rounding to the nearest hundredth, the diameter is 6.69 inches. This is a common calculation used in geometry to determine the dimensions of a circle when given either the circumference or area.<\/p>\n","protected":false},"excerpt":{"rendered":" If the circumference of a circle is 21 inches, what is the diameter? Use 3.14 for and round your answer to the nearest hundredth. The Correct Answer and Explanation is : To find the diameter of a circle when given the circumference, we can use the formula for the circumference of a circle: [C = […]<\/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-162427","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162427","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=162427"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162427\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=162427"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=162427"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=162427"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
C = \\pi \\times d
]<\/p>\n\n\n\n\n
Step 1: Rearrange the formula<\/h3>\n\n\n\n
d = \\frac{C}{\\pi}
]<\/p>\n\n\n\nStep 2: Substitute the known values<\/h3>\n\n\n\n
d = \\frac{21}{3.14}
]<\/p>\n\n\n\nStep 3: Perform the calculation<\/h3>\n\n\n\n
d = 6.693 \\text{ inches}
]<\/p>\n\n\n\nStep 4: Round the answer<\/h3>\n\n\n\n
d \\approx 6.69 \\text{ inches}
]<\/p>\n\n\n\nFinal Answer:<\/h3>\n\n\n\n
\n\n\n\nExplanation:<\/h3>\n\n\n\n