Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 3 - Review Exercises - Page 129: 21

Answer

$35.8$ cm

Work Step by Step

The formula to be used here is $s=r\theta$ where $s$ is the arc length, $r$ is the radius and $\theta$ is the angle in radians. Substituting the values of $r=15.2$ cm and $\theta=\frac{3\pi}{4}$ radians into the formula and solving using a calculator: $s=r\theta=15.2\times\frac{3\pi}{4}\approx35.8$ cm
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