Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 3 - Radian Measure and the Unit Circle - Section 3.1 Radian Measure - 3.1 Exercises - Page 99: 88

Answer

$\dfrac{\pi^2}{180}$ radians

Work Step by Step

RECALL: To convert an angle measure from degrees to radians, you multiply $\dfrac{\pi}{180^o}$ to the given measure in degrees. Converting the given angle in degree measure to radians gives: $=\pi^o \cdot \frac{\pi}{180^o}=\dfrac{\pi^2}{180}$ Thus, the exact radian measure of the given angle is $\dfrac{\pi^2}{180}$ radians.
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