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: 97

Answer

$23.87^\circ$

Work Step by Step

$$l=\frac{\theta}{360^\circ}\times2\pi r$$ $$2.5=\frac{\theta}{360^\circ}\times2\pi (6)$$ $$\theta=\frac{2.5(360^\circ)}{2\pi(6)}$$ $$\theta=23.87^\circ$$
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