When a sprinkler is set to full rotation, the water covers a circular section of garden with radius 36 feet.

Question

If the sprinkler is set to rotate back and forth through an angle of 40°, find the area of the garden that is covered by the sprinkler

Area = ? ft²

Round the answer to the nearest square foot, if necessary.

Answer 1

Area = πr² (40/360) where 40°/360° is the area covered of an entire circle.

= πr² (1/9) = π(36)²/9 = 452.4 ft²