Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 1: Functions - Section 1.3 - Trigonometric Functions - Exercises 1.3: 2

Answer

The angle is $\frac{5}{4}\pi rad$ or $225^\circ$

Work Step by Step

$r=8$ $s=10\pi$ $s=r\theta$ $\theta = \frac{s}{r}= \frac{10\pi}{8} = \frac{5}{4}\pi rad$ $\theta= \frac{5}{4}\pi rad = \frac{5}{4}180^\circ = 225^\circ$
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