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 110: 22


$s=r\displaystyle \theta\cdot\frac{180^{\mathrm{o}}}{\pi}$

Work Step by Step

Converting between Degrees and Radians 1. Multiply a degree measure by $\displaystyle \frac{\pi}{180}$ radian and simplify to convert to radians. 2. Multiply a radian measure by $\displaystyle \frac{180^{\mathrm{o}}}{\pi}$ and simplify to convert to degrees. -------- Since $\theta$ is in radians (and we want degrees), we apply case 2. $s=r\displaystyle \theta\cdot\frac{180^{\mathrm{o}}}{\pi}$
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