Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 1 - Tools of Geometry - 1-8 Perimeter, Circumference, and Area - Got It?: 5

Answer

a) $49\pi\ ft^2$ b) $153.86\ ft^2$ c) $3.14$

Work Step by Step

The formula for the area of a circle uses the radius of the circle. The radius(r) is half the diameter(d). $r=\frac{1}{2}d=\frac{1}{2}(14)=7\ ft$ a) Use the formula for the area of a circle.. $A=\pi r^2=\pi (7^2)=\pi\times49=49\pi$ b) $\pi$ is approximated as 3.14. Substitute to find the approximate area. $A=49\pi=49(3.14)=153.86$ c) 3.14 is the standard approximation to use for $\pi$.
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