Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 6 - 6.1 - Angles and Their Measure - 6.1 Exercises - Page 432: 98

Answer

$275.02^\circ$

Work Step by Step

$$l=2~ft\times\frac{12~in}{1~ft}=24~in$$ $$r=\frac{D}{2}=\frac{10}{2}=5~in$$ $$l=\frac{\theta}{360^\circ}\times2\pi r$$ $$24=\frac{\theta}{360^\circ}\times2\pi (5)$$ $$\theta=\frac{24(360^\circ)}{2\pi(5)}$$ $$\theta=275.02^\circ$$
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