Question

a sprinkler is placed in the corner of a rectangular yard,if the sprinkler has a of reach 26 feet and the yard is 30 feet long and 40 feet wide how many square feet of the lawn will not be watered by the sprinkler? 30ft-26ft = 4ft, 40ft-26ft=14
14ft * 4ft = 56ft....?

Answer 1

I will assume that the sprinkler is a circular one, although some like the sweeping kind, are not.

area of rectangle = 30x40 or 1200 ft^2

the area covered by the sprinkler is 1/4 of a circle with radius 26
area of watered lawn = (1/4)π(26)^ = 169π

so area not covered by sprinkler = (1200 - 169π) ft^2