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 1,017.36 square feet use 3.14 for pi

The sprinkler can spread water up to 36 feet away!

Step-by-step explanation:

First, identify the formula used to find the area of a circle:

Area = pi x r^2

We already know the area that the sprinkler makes, so just plug that in! Then, we just need to reverse engineer the formula!

1,017.36 square feet = pi x r^2

1,017.36 square feet= 3.14 x r^2

1,017.36/3.14 = r^2

324 = r^2

sqrt of 324 = 18

So, we figured out that the radius of the circle is 18 feet! Now, remember the radius is just half the amount of the diameter!

18 x 2 = 36 feet

Hope this helps! :)

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