Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 8 - Geometry - 8.6 Circles - 8.6 Exercises - Page 576: 37

Answer

$$ 10,413\ ft^2$$

Work Step by Step

We first find the area of the rectangle: $$ A = bl \\ A= (60\ ft)(45\ ft + 45\ ft + 30 \ ft + 30 \ ft) \\ A = (60\ ft)(150 \ ft ) \\ A = 9000 \ ft^2$$ The area of the semi circle is: $$ A= \frac{1}{2} \pi (30\ ft)^2 \\ A = 1413\ ft^2 $$ Thus, the total area is: $$ A = 9000 \ ft^2 + 1413\ ft^2 \\ A = 10,413\ ft^2$$
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