Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Appendix A - Review - A.2 Geometry Essentials - A.2 Assess Your Understanding - Page A21: 50

Answer

$69\pi\approx216.77\ ft^2$ $26\pi\approx81.68\ ft$

Work Step by Step

1. The area of the deck is the difference between the areas of the two circles, thus $A=\pi r_2^2-\pi r_1^2=\pi((\frac{20}{2}+3)^2-(\frac{20}{2})^2)=\pi(169-100)=69\pi\approx216.77\ ft^2$ 2. The fence needed is the perimeter of the large circle, we have $P=\pi(20+6)=26\pi\approx81.68\ ft$
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