Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 5 - Trigonometric Functions - Section 5.1 Angles and Their Measures - 5.1 Assess Your Understanding - Page 386: 73


$6 \text{ feet}$

Work Step by Step

$\because s = r \theta$ where $s$: Length of the arc of the circle $r$: Radius of the circle $\theta$: Central angle that subtends the arc (in radians) Use the formula above to obtain: $r = \dfrac{s}{\theta}$ $r= \dfrac{2}{\frac{1}{3}} = 2 \cdot 3 = \boxed{6 \text{ feet}}$
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