Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 8 - Section 8.5 - More Area Relationships in the Circle - Exercises - Page 391: 15

Answer

$\approx$ 30.57 in

Work Step by Step

we need to find the perimeter of the sector which is nearest hundredth of an inch. We need to find out the arc length which is formed by sector In a circle whose circumference is c, the length l of the arc whose degree measure is m is given by l =$\frac{m}{360}$ * c = $\frac{80}{360}$ * 2$\pi$r = $\frac{80}{360}$ * 2$\pi$(9) l = $\frac{2}{9}$ * 18$\pi$ = 4$\pi$ in The perimeter of the sector = 2 * radius + length of arc = 2 * 9 +4$\pi$ = (18 + 4$\pi$) in. $\approx$ 30.57 in
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