Answer
$A=\frac{1}{2}r^2\theta$
Work Step by Step
Area of a circle:
$A=\pi r^2=\frac{1}{2}r^2(2\pi)$
The area of a sector of a circle is proportional to the central angle:
$A=\frac{1}{2}r^2(2\pi)(\frac{\theta}{2\pi})=\frac{1}{2}r^2\theta$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 6 - 6.1 - Angles and Their Measure - 6.1 Exercises - Page 430: 10
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
