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: 93


$6.28\text{ m}^2.$

Work Step by Step

Here, $r$ denotes the radius of the sector of the circle. The Area of sector can be computed by the formula: $A=\frac{\theta}{360^\circ}\cdot \pi \cdot r^2$,where $\theta$ is is the central angle measure in degrees. Hence $A=\frac{45^\circ}{360^\circ}\cdot \pi \cdot (4\text{ m})^2=2\pi\approx6.28\text{ m}^2.$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.