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: 83


$ 0.24\text{ rad}$

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: $A=\frac{\theta}{2}\cdot r^2$ where $\theta$ is the central angle measure in radians. Hence here we have $3=\frac{\theta}{2}\cdot 5^2\\\left(\frac{2}{25}\right)3=\left(\frac{2}{25}\right)\frac{\theta}{2}\cdot 25\\\frac{6}{25}=\theta.$ Thus, $\theta\approx 0.24\text{ rad}$
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