# Chapter 6 - The Circular Functions and Their Graphs - 6.1 Radian Measures - 6.1 Exercises - Page 576: 104

$\color{blue}{A\approx 365.3 \space m^2}$

#### Work Step by Step

RECALL: The area of a sector $(A)$ intercepted by a central angle $\theta$ on a circle whose radius is $r$ is given by the formula: $A = \frac{1}{2}r^2\theta$, where $\theta$ is in radian measure. Convert the angle to radians to obtain: $125^o \\=125^o\cdot \dfrac{\pi}{180^o} \\=\dfrac{25\pi}{36}$ Substitute the given values of the radius and $\theta$ to obtain: $A=\frac{1}{2}r^2\theta \\A=\frac{1}{2}(18.3^2)(\frac{25\pi}{36}) \\A=365.3083208 \\\color{blue}{A\approx 365.3 \space m^2}$

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.