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 - Lesson Check: 2

Answer

a) perimeter=$56.5\ in$; area=$254.5\ in^2$ b) perimeter=$22.9\ m$; area=$41.9\ m^2$

Work Step by Step

a) Use the formula for circumference and substitute the given radius(r). $C=2\pi r=2\pi\times9=18\pi=56.5$ Use the formula for area and substitute the given radius(r). $A=\pi r^2=\pi(9)^2=81\pi=254.5$ b) The radius of a circle is half the diameter, so the given radius is 3.65 m. Use the formula for circumference and substitute the given diameter(d). $C=\pi d=7.3\pi=22.9$ Use the formula for area and substitute the given radius(r). $A=\pi r^2=\pi(3.65)^2=13.3225\pi=41.9$
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