Answer:
Shaded region is 18.3 units²
Step-by-step explanation:
First find the area of the white triangle. The base and height of this triangle are both 8. Thus, the area of the triangle is (1/2)(base)(height), or 32 units.
Next, find the area of the whole circle. It is πr², which in this case comes
out to π(8 units)² = 64π units². Realize that (1/4) of this, or 16π units², is the area of the quarter circle that contains the triangle.
To find the shaded area, take the area of the quarter circle (16 π units²) and subtract the area of the triangle (32 units²).
16π units² - 32 units² = 18.3 units²
Shaded region is 18.3 units²
