Francesca plays a bass drum. After measuring it, she calculates that it has a circumference of 81.64 centimeters. What is the drum’s area?
Use 3.14 for \u200b.<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To calculate the area of the bass drum, we need to use the formula for the area of a circle, which is:<\/p>\n\n\n\n [ Where:<\/p>\n\n\n\n We are given the circumference of the drum, which is 81.64 cm. The circumference of a circle is related to its radius by the formula:<\/p>\n\n\n\n [ Where:<\/p>\n\n\n\n We are given the circumference (C = 81.64 \\, \\text{cm}), so we can rearrange the formula to solve for (r):<\/p>\n\n\n\n [ Substitute the known values:<\/p>\n\n\n\n [ [ So, the radius of the bass drum is approximately 13 cm.<\/p>\n\n\n\n Now that we know the radius ((r = 13 \\, \\text{cm})), we can use the area formula to calculate the drum’s area:<\/p>\n\n\n\n [ Substitute the known values:<\/p>\n\n\n\n [ [ [ The area of the bass drum is approximately 530.66 cm\u00b2<\/strong>.<\/p>\n\n\n\n We used the given circumference to first find the radius of the bass drum. After that, we applied the formula for the area of a circle, (\\pi r^2), to find the area. By using 3.14 for (\\pi), we calculated the area as approximately 530.66 square centimeters. This approach is based on the fundamental geometric relationships between a circle\u2019s circumference, radius, and area.<\/p>\n","protected":false},"excerpt":{"rendered":" Francesca plays a bass drum. After measuring it, she calculates that it has a circumference of 81.64 centimeters. What is the drum’s area?Use 3.14 for \u200b. The Correct Answer and Explanation is: To calculate the area of the bass drum, we need to use the formula for the area of a circle, which is: [A […]<\/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-167156","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167156","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=167156"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167156\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=167156"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=167156"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=167156"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
A = \\pi r^2
]<\/p>\n\n\n\n\n
C = 2 \\pi r
]<\/p>\n\n\n\n\n
Step 1: Find the radius using the circumference formula<\/h3>\n\n\n\n
r = \\frac{C}{2\\pi}
]<\/p>\n\n\n\n
r = \\frac{81.64}{2 \\times 3.14}
]<\/p>\n\n\n\n
r = \\frac{81.64}{6.28} \\approx 13 \\, \\text{cm}
]<\/p>\n\n\n\nStep 2: Calculate the area<\/h3>\n\n\n\n
A = \\pi r^2
]<\/p>\n\n\n\n
A = 3.14 \\times (13)^2
]<\/p>\n\n\n\n
A = 3.14 \\times 169
]<\/p>\n\n\n\n
A \\approx 530.66 \\, \\text{cm}^2
]<\/p>\n\n\n\nFinal Answer:<\/h3>\n\n\n\n
Explanation:<\/h3>\n\n\n\n