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 square feet? Use 3.14 for .
when you figure out the area you want, recall that
A = πr^2
To find the distance away from the sprinkler that the water can spread, we need to calculate the radius of the circular pattern formed by the watering.
The area of a circle can be calculated using the formula: A = πr^2, where A is the area and r is the radius.
We are given the area of the watering pattern as square feet, so we can rearrange the formula to solve for the radius:
A = πr^2
r^2 = A / π
r = √(A / π)
Let's substitute the given area into the formula:
r = √( square feet / 3.14)
Now we can calculate the radius.
To find the distance away from the sprinkler where it can spread water, we need to calculate the radius of the circular pattern.
The formula to calculate the area of a circle is:
A = πr^2, where A is the area and r is the radius.
Rearranging this formula, we can solve for the radius:
r = sqrt(A/π)
Given that the area formed by the watering pattern is "square feet," we can substitute A into the formula:
r = sqrt(square feet / π)
Now, we can plug in the value of π as 3.14 and calculate the radius.