## Precalculus (10th Edition)

$s=14.661$ yards $A=87.965$ square yards
The angle must be in radians for each of the formulae used below.To convert from degrees to radians, the answer in degrees must be multiplied by $\frac{\pi}{180}$. Therefore $70°= 70 \times \frac{\pi}{180}$ $=\frac{7\pi}{18}$ radians $s=r\times\theta$ $s=12\times\frac{7\pi}{18}$ meters Therefore $s=14.661$ yards $A=\frac{1}{2}\theta r^{2}$, where the angle, $\theta$ measured in radians $A=\frac{1}{2}(\frac{7\pi}{18}) (12)^{2}$ $A=87.965$ square yards