Answer
$9.03$ square feet
Work Step by Step
The Area of sector can be computed by the formula:
$K=\frac{\theta}{360}\cdot \pi \cdot r^2$,where $\theta$ is in degrees
Hence,
$K_1=\frac{70}{360}\cdot \pi \cdot 8^2\approx39.10.$
By definition the area of a triangle is given by the formula:
$K_2=\frac{ab\cdot \sin(C)}{2}.$
Hence, the area of the triangle is
$K_2=\frac{8\cdot8\cdot \sin(70^o)}{2}\approx30.07.$
Thus, the area of the segment is:
$K_1-K_2=39.10-30.07=9.03$
