Answer:
number of feet away from the sprinkler = 12 ft
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