Answer:
[tex]2616.67 \: square \: feet[/tex]
Step-by-step explanation:
The area of lawn that will receive water if the sprinkler rotates 360° = π × r^2 = 3.14 × (50)^2 = 7,850 sq.ft
When it rotates through angle 120°, the area of the lawn which will receive water =
[tex] \frac{120}{360} \times 7850 = \frac{1}{3} \times 785 = 2616.67 \: square \: feet[/tex]
