Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 3 - Radian Measure and the Unit Circle - Section 3.2 Applications of Radian Measure - 3.2 Exercises - Page 115: 73



Work Step by Step

Since the figure containing $L$, $r$ and $\theta$ represents a sector of a circle, $L$ is therefore equal to the arc length. The general formula for arc length $s$ of a sector of a circle is $s=r\theta$. Since $L$ is equal to $s$, this formula can be written as $L=r\theta$. Solving for $r$, the formula becomes $r=\frac{L}{\theta}$.
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