Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 4 - Section 4.1 - Angles and Radian Measure - Concept and Vocabulary Check - Page 531: 4


The radian measure of $\theta $ shown in the figure is $\theta =$ $\frac{s}{r}$.

Work Step by Step

If $s$ is the length of an arc in a circle and $r$ is the radius of the circle, then the angle $\theta $ that intercepts the arc is given by $\theta =\frac{s}{r}\ \text{radians}$ Thus, the radian measure of $\theta $ shown in the figure is $\theta =$ $\frac{s}{r}$.
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