Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 3 - Review Exercises - Page 135: 18

Answer

$\frac{4\pi}{3}$ inches

Work Step by Step

Step 1: The formula to be used here is $s=r\theta$ where $s$ is the length of the arc of a circle of radius $r$ and central angle $\theta$. Step 2: $r=2$ inches and the distance traveled by the tip of the minute hand in a particular duration denotes the arc length $s$. Step 3: Since 60 minutes denote $2\pi$ radians, 20 minutes represent $(\frac{20}{60}\times2\pi) = \frac{2\pi}{3}$ radians. Step 4: Substituting the values in the equation, $s=(2)(\frac{2\pi}{3})= \frac{4\pi}{3}$ inches
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.