ANSWER
461.7 yd²
EXPLANATION
The shaded region represents a sector.
The area of the sector is a fraction of the area of the whole circle.
Area of sector
[tex] = \frac{angle \: \: of \:sector }{360 \degree} \times \pi {r}^{2} [/tex]
We substitute the angle of the sector and the radius of the circle to obtain:
[tex] = \frac{167 \degree}{360 \degree} \times \pi \times {17.8}^{2} [/tex]
[tex] = 461.7 {yd}^{2} [/tex]
Therefore the area of the shaded region to the nearest tenth is 461.7 square yards.
