Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 8 - Section 8.5 - More Area Relationships in the Circle - Exercises - Page 378: 19

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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