A water sprinkler covers a circular area with a diameter of 20 feet. If it is set to cover only an arc measuring 120 degrees, which is the closest to the area, in square feet, t…

Question

asked Oct 3, 2020 35.2k views

2 Answers

Ivan Vovk · Answer 1 · 2020-10-10T01:21:23+0000

Answer:

The sprinkler will cover 104.66 square feet

Step-by-step explanation:

A water sprinkler covers a circular area with a diameter D= 20 feet

and radius r = 10 feet

Arc measuring degrees = 120 degree

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

=
$(1)/(3) * \pi * 10^2$

=
(1)/(3) * 3.14 * 10 * 10

= 104.66

The sprinkler will cover an arc area covering 104.66 square feet