Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 3 - Section 3.4 - Arc Length and Area of a Sector - 3.4 Problem Set - Page 153: 10


$4\pi$ cm

Work Step by Step

We know that the length of the arc $s$ cut off by $\theta$ can be calculated as $s=r\theta$. We are given that $\theta=\frac{\pi}{3}$ and $r=12$ cm. Therefore, $s=\frac{\pi}{3}(12)=\frac{\pi}{3}\times12=\frac{\pi\times12}{3}=\frac{12\pi}{3}=4\pi$ cm.
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