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 3.2 Applications of Radian Measure - 3.2 Exercises - Page 112: 52


$365.3$ m$^{2}$

Work Step by Step

First converting $125^{\circ}$ to radians: $125^{\circ}=125(\frac{\pi}{180})=\frac{25\pi}{36}$ radians The formula for the area of a sector of a circle having radius $r$ and central angle $\theta$ is $A=\frac{1}{2}r^{2}\theta$. Substituting the values of $r$ and $\theta$ into the formula: $A=\frac{1}{2}(18.3)^{2}(\frac{25\pi}{36})$ Solving through a calculator: $A=\frac{1}{2}(18.3)^{2}(\frac{25\pi}{36})\approx365.3$ m$^{2}$
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.