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 385: 5

Answer

$\text{radian}$

Work Step by Step

Since $\text{arc length}=\text{radius}\times\text{central angle}$ where the central angle is measured in radians, then $\text{central angle}=\frac{\text{arc length}}{\text{radius}}=\frac{r}{r}=1\text{ radian}$ Hence, the missing expression in the given statement is $\underline{\text{radian}}$.
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