6 Hawara sprinkler sprays water over a distance of 20 feet w

6.

Hawara sprinkler sprays water over a distance of 20 feet while rotating through an angle of 130 degrees. what area of land received water?

the area A of the sector is ______ square feet.
(round to 2 decimal places)

Solution

Sprinkler sprays water over a distance of 20 feet

==> radius r = 20 feet

Area A of sector = (130^o/360^o) (20)²            (since area of sector A = (n/360^o) (r)²  

==> A = 400(13)/36

==> A = 1300/9

==> A = 453.7856

Hence Area of sector A = 453.79 square feet