A lawn sprinkler sprays water 78.5 square feet area and sprays in every direction as it rotates. What is the length of the sprinkler’s stream of water?

Answer 1

To find the length of the sprinkler's stream of water, we first need to find the radius of the area covered by the sprinkler.

The formula for the area of a circle is A = πr^2, where A is the area and r is the radius.

Given that the area covered by the sprinkler is 78.5 square feet, we can set up the equation as follows:

78.5 = πr^2

To solve for the radius, first divide both sides by π:

78.5 / π = r^2

r^2 ≈ 25

r ≈ √25

r = 5 feet

Since the sprinkler rotates in every direction, the length of the sprinkler's stream of water will be the same as the diameter of the area covered by the sprinkler.

Therefore, the length of the sprinkler's stream of water is:

2 * r = 2 * 5 = 10 feet

So, the length of the sprinkler's stream of water is 10 feet.