## Precalculus (10th Edition)

$s\approx7.854$ centimeters $A\approx35.343$ square centimeters
To use the formula for Area of a segment and length of an arc, the angle needs to be in radians. To convert from degrees to radians, the answer in degrees must be multiplied by $\frac{\pi}{180}$. Therefore $50°= 50 \times \frac{\pi}{180}$ $=\frac{5\pi}{18}$ radians $s=r\times\theta$ $s=9\times\frac{5\pi}{18}$ meters Therefore $s\approx7.854$ centimeters $A=\frac{1}{2}\theta r^{2}$, where the angle, $\theta$ measured in radians $A=\frac{1}{2}(\frac{5\pi}{18}) (9)^{2}$ $A\approx 35.343$ square centimeters