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: 92

Answer

$13.96\text{ in}$

Work Step by Step

Here, $r$ denotes the radius of the sector of the circle. The Arc Length $s$ can be computed using the formula $s=r\cdot \frac{\theta}{180}\cdot \pi$ where $\theta$ is in degrees. Use the formula above to obtain $s=40\cdot \frac{20}{180}\cdot \pi\approx13.96\text{ in}$.
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