Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 3 - Section 3.4 - Arc Length and Area of a Sector - 3.4 Problem Set - Page 157: 74

Answer

b)

Work Step by Step

The formula $A=0.5r^2\theta$ requires the angles to be in radius. $\theta$ is currently in degrees, so we need to multiply it by $\pi/180$ to obtain it in radius. Hence here the area of the sector: $A=0.5r^2\theta=0.5\cdot9^2(40)\pi/180=9\pi$ square ft, thus the answer is b).
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