Question

question 4 of 5
a lawn sprinkler sprays water 4 feet in all directions as it rotates.
find the area of the lawn that the sprinkler covers. use 3.14 for \\( \pi \\).
a. \\( 200.96 \mathrm{ft}^{2} \\)
b. \\( 50.24 \mathrm{ft}^{2} \\)
c. \\( 12.56 \mathrm{ft}^{2} \\)
d. \\( 25.12 \mathrm{ft}^{2} \\)

Explanation:

Step1: Identify the formula for the area of a circle

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

Step2: Determine the radius

The sprinkler sprays water 4 feet in all directions, so the radius \(r = 4\) feet.

Step3: Substitute the values into the formula

Substitute \(r = 4\) and \(\pi=3.14\) into \(A=\pi r^{2}\).

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Answer:

B. \(50.24\mathrm{ft}^{2}\)