a water sprinkler sprays water over a distance of 20 feet wh

a water sprinkler sprays water over a distance of 20 feet while rotating through an angle of 120 degrees. what area of the lawn recieves water?

Solution

Distance is the radius of the arc over which water sprknles sprays

Angle of arc= 120deg

Area of Arc = (120/360)*pi*r^2

= pi*20^2/3

=400pi/3 = 418.87 feet^2 (area of the lawn recieves water)