Answer
$s\approx7.854$ centimeters
$A\approx35.343$ square centimeters
Work Step by Step
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
