9514 1404 393
Answer:
75.3982 ft²
Explanation:
The formula for the area of a sector is ...
A = 1/2r²θ . . . . . . sector of radius r and central angle θ in radians
Your circle with diameter 16 feet has a radius of 16/2 = 8 feet, so the sector area is ...
A = 1/2(8 ft)²(3π/4) = 24π ft²
A ≈ 75.3982 ft²