Answer:
Area_shaded = 2543.742 ft^2
Step-by-step explanation:
First we find the area of the external triangle
A_triangle = base*height*0.5
A_triangle = (92 ft)*(84 ft)*0.5 = 3864 ft^2
Then we find the area of the pool (circle)
A_circle = pi*radius^2
A_circle = 3.1416*(20.5 ft)^2 = 1320.257 ft^2
The area of the shaded region
Area_shaded = A_triangle - A_circle
Area_shaded = 3864 ft^2 - 1320.257 ft^2 = 2543.742 ft^2
