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 3.1 Radian Measure - 3.1 Exercises: 66

Answer

If a radius with a length of $r$ units rotates through an angle of 1 radian, then the arc length is $r$ units. An angle of 1 radian subtends an arc length that is equal to the radius.

Work Step by Step

Radian measure is a unit that is used to measure an angle. If a radius with a length of $r$ units rotates through an angle of 1 radian, then the arc length is $r$ units. An angle of 1 radian subtends an arc length that is equal to the radius. We can use the conversion factor $\frac{180^{\circ}}{\pi}$ to convert from radians to degrees. $(1~radian) \times \frac{180^{\circ}}{\pi} = 57.3^{\circ}$ An angle of 1 radian is equal to $57.3^{\circ}$
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.