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

Published by Pearson

Chapter 5 - Trigonometric Functions - Section 5.1 Angles and Their Measures - 5.1 Assess Your Understanding - Page 386: 76

Answer

$1.333 \text{ radians}$

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: $s=r\theta\\ \dfrac{s}{r}=\theta\\ \theta=\dfrac{s}{r}\\$ $\theta = \dfrac{8}{6} \approx \boxed{1.333 \text{ radians}}$

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