Answer
$12\ sec$
Work Step by Step
Given $s=6\pi\ cm, r=2\ cm, \omega=\frac{\pi}{4}\ rad/sec$, we have $t=\frac{s}{r\omega}=\frac{6\pi}{2\times\frac{\pi}{4}}=12\ sec$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 6 - The Circular Functions and Their Graphs - 6.2 The Unit Circle and Circular Functions - 6.2 Exercises - Page 590: 105
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