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 362: 86


$9.425\text{ m}^2$

Work Step by Step

Here, $r$ denotes the radius of the sector of the circle. The Area $A$ of sector can be computed using the formula $A=\frac{\theta}{360}\cdot \pi \cdot r^2$ where $\theta$ is the central angle measure in degrees. Hence, here we have $A=\frac{120}{360}\cdot \pi \cdot 3^2=3\pi\approx9.425\text{ m}^2$
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