An irrigation sprinkler in a field of lettuce sprays water o

An irrigation sprinkler in a field of lettuce sprays water over a distance of 40 feet as it rotates through an angle of 135 degree. What area of the field receives water? If necessary, round your final answer to two (2) decimal places. Use either s = r theta or A = 1/2 r^2 theta whichever is appropriate.

Solution

Area = (1/2)r^2(theta)

theta = 135 deg = 2.356 rad

radius = 40 ft

Area = (1/2)(40)^2(2.356) = 1884.80 ft^2