Question

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

Answer 1

The sprinkler can spread water up to 36 feet away!

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! :)

Answer 2

18

Explanation:

1,017.36 is the area of the circle and you need to find the radius

area formula : 3.14rsquared

so the formula you are going to solve for your answer is 3.14rsquared=1,017.36

divide by 3.14

rsquared = 324

un square it to get you radius which is 18

you didnt clarify whether you wanted radisu or diameter so ill give both

R: 18

D:36