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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 is452.16 square​ feet? Use 3.14 for .

2 Answers

8 votes

Answer:

12 feet

Explanation:

It asks how many feet away from the sprinkler can water be spread. Therefore, in this scenario, we require the radius.

Area of a circle :

Area (circle) = πr²

Solving :

⇒ 452.16 = 3.14 × r²

⇒ r² = 452.16 ÷ 3.14

⇒ r = √144

⇒ r = 12 feet

User Eric Sabine
by
6.6k points
3 votes

We need radius

Let that be r

  • πr²=452.16
  • 3.14r²=452.16
  • r²=144
  • r=√144
  • r=12ft
User David Zech
by
6.5k points