Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 6 - Trigonometric Functions - 6.1 Angles and Their Measure - 6.1 Assess Your Understanding - Page 363: 95

Answer

$1060.29\text{ ft}^2$

Work Step by Step

Here, $r$ denotes the radius of the sector of the circle. The Area of sector can be computed by: $A=\frac{\theta}{360}\cdot \pi \cdot r^2$,where $\theta$ is in degrees Hence, $A=\frac{135}{360}\cdot \pi \cdot 30^2=\frac{675}{2}\pi\approx1060.29\text{ ft}^2$
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