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 .

Answer :

Answer:

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

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