Answer:
491 ft²
Step-by-step explanation:
We know the area of a sector, A = Ф/360° × πr² where Ф = angle subtended by sector = angle of rotation of sprinkler = 90° and r = radius of sector = length of spray = 25 feet.
Substituting the values of the variables into the equation, we have
A = Ф/360° × πr²
A = 90°/360° × π(25 ft)²
A = 1/4 × 625π ft²
A = 1/4 × 1963.5 ft²
A = 490.9 ft²
A ≅ 491 ft² to the nearest square foot
