Question

a sprinkler sprays water in a circle. the sprinkler sprays a distance of 20 feet. how large an area does the sprinkler cover? use 3.14 for π.
options:
20 square feet
400 square feet
628 square feet
1256 square feet

Explanation:

Step1: Recall the formula for the area of a circle

The formula for the area of a circle is \(A = \pi r^{2}\), where \(r\) is the radius of the circle.

Step2: Identify the radius

The sprinkler sprays a distance of 20 feet. This distance is the radius of the circular area it covers, so \(r = 20\) feet.

Step3: Substitute the values into the formula

We are given \(\pi=3.14\) and \(r = 20\). Substitute these into the formula \(A=\pi r^{2}\):

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Answer:

1256 square feet