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41 votes
41 votes
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 .

User Jaehee
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2 Answers

16 votes
16 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 Ncank
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2.9k points
20 votes
20 votes

We need radius

Let that be r

  • πr²=452.16
  • 3.14r²=452.16
  • r²=144
  • r=√144
  • r=12ft
User Frangaliana
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2.9k points