Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 3 - Radian Measure and the Unit Circle - Section 3.4 Linear and Angular Speed - 3.4 Exercises - Page 123: 2

Answer

It will take a time of $2\pi$ seconds to go around the whole circle.

Work Step by Step

The radius of the circle is 1 unit. The distance $d$ around the whole circle is $2\pi$ units. The speed $v$ is 1 unit/s We can find the time to go around the whole circle: $t = \frac{d}{v}$ $t = \frac{2\pi~units}{1~unit/s}$ $t = 2\pi~s$ It will take a time of $2\pi$ seconds to go around the whole circle.
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