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 452.16 square feet? Use 3.14 for pi.

number of feet away from the sprinkler = 12 ft

Step-by-step explanation:

The number of feet away which the sprinkler is spreading water is the radius of the circle formed.

area of a circle = πr²

where

r = radius

area of the circle formed = 452.16 ft²

area of a circle = πr²

area of a circle = 3.14 * r²

452.16 = 3.14r²

divide both sides by 3.14

r² = 452.16/3.14

r² = 144

square root both sides

r = √144

r = 12 ft

number of feet away from the sprinkler = 12 ft