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: 20

Answer

56.55 $in^{2}$

Work Step by Step

We need to find the area of the circle In a circle of radius length r , the Area A of the sector whose arc has degree measure m is A = $\frac{m}{360}$ * $\pi r^{2}$ = $\frac{80}{360}$ * $\pi 9^{2}$ = $\frac{2}{9}$ * 81$\pi$ = 18$\pi in^{2}$ = 56.55 $in^{2}$ Therefore the area of the sector = 56.55 $in^{2}$
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