Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 6 - Trigonometric Functions - Chapter Review - Review Exercises - Page 435: 50

Answer

$s_1=8\pi$, $s_2=\frac{16\pi}{3}$.

Work Step by Step

In half an hour the tip of the minute hand rotates an angle of $\pi$, whilst in twenty minutes the tip of the minute hand rotates an angle of $\frac{2\pi}{3}$. The Arc Length can be counted by: $s=r\cdot \theta.$ Here $s_1=8\cdot\pi=8\pi$, $s_2=8\cdot\frac{2\pi}{3}=\frac{16\pi}{3}$.
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