Answer:
The sprinkler will cover 104.66 square feet
Explanation:
A water sprinkler covers a circular area with a diameter D= 20 feet
and radius r = 10 feet
Arc measuring degrees = 120 degree
Area of the Arc = [tex]\frac{120}{360} \times \pi \times r^2[/tex]
= [tex]\frac{1}{3} \times \pi \times 10^2[/tex]
= [tex]\frac{1}{3} \times 3.14 \times 10 \times 10[/tex]
= 104.66
The sprinkler will cover an arc area covering 104.66 square feet