A water sprinkler sprays water on a lawn over a distance of 30 feet and rotated through an angle of 135 degrees.

Question

Find the area of the lawn watered by the sprinkler

Answer 1

use proportion

area of sector = coverage angle

------------------- ---------------------

area of circle 360 degrees

here the coverage angle is 135 degrees and the area of the circle is PI * radius**2, where radius is 30 feet so

area of sector = 135 degrees

------------------- ----------------

PI * 900 360 degrees

cross-multiply and solve for area of sector