Trigonometry (11th Edition) Clone

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

Chapter 3 - Radian Measure and the Unit Circle - Section 3.1 Radian Measure - 3.1 Exercises - Page 104: 2

Answer

$2\pi; \pi$

Work Step by Step

When the central angle is $360^{\circ}$, arc length=circumference=$2\pi r$ where $r$ is the radius of the circle. Then, in radians, $\theta=\frac{\text{arc length}}{\text{radius}}=\frac{2\pi r}{r}\,rad=2\pi\,rad$ $360^{\circ}=2\pi \,rad\implies 180^{\circ}=\pi \,rad$
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.