University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 1 - Section 1.3 - Trigonometric Functions - Exercises - Page 27: 2


The angle is $\frac{5\pi}{4}$ in radians and $225^\circ$ in degrees.

Work Step by Step

To find out the angle, we need to employ the formula: $$s = r\theta$$ which means $$\theta=\frac{s}{r}$$ $s$: the length of the arc $r$: radius of the circle $\theta$: the central angle of the arc (in radians) Here $r = 8$ and $s=10\pi$ So the angle would be (in radians): $$\theta=\frac{10\pi}{8}=\frac{5\pi}{4}$$ In degrees, that angle would be: $$\theta=\frac{5\pi}{4}\times\frac{180^\circ}{\pi}=\frac{5\times180^\circ}{4}=225^\circ$$
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.