## Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage

# Chapter 8 - Section 8.5 - More Area Relationships in the Circle - Exercises - Page 378: 6

#### Answer

90 $in^{2}$

#### Work Step by Step

Given area of the circle = 360 $in^{2}$ central angle measures =90$^{\circ}$ In a circle of radius length r , the Area A of the sector whose arc has degree measure m is A = $\frac{m}{360}$ * $\pi r^{2}$ = The area of the circle = $\pi r^{2}$ = 360 m= 90 A = $\frac{90}{360}$ * 360 = 90 $in^{2}$

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