A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area formed by the watering pattern is 808.64 square​ feet? Use 3.14

Question

A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area formed by the watering pattern is 808.64 square​ feet? Use 3.14 for pi π.

Answer 1

The number of feet away from the sprinkler where it could spread water would be the radius of the circle in which it is spraying.

The Area of a circle is

πr²=808.64

(3.14)r²=808.64

Divide both sides by 3.14

r²=257.5286624

Square root both sides to get radius

r=16 feet