Geometry: Common Core (15th Edition)

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

Chapter 1 - Tools of Geometry - Chapter Test: 7

Answer

$29,054.0\ ft^2$

Work Step by Step

The two half circles form a full circle. Find the area of a circle whose diameter is 100 ft. $r=\frac{1}{2}d=\frac{1}{2}(100)=50$ use the area formula $A=\pi r^2=\pi (50^2)=2500\pi=7854.0$ Find the area of the rectangular portion. $A=bh=212(100)=21200$ Use the Area Addition Postulate $A=7854.0+21200=29054.0$
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