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A water sprinkler covers a circular area with a diameter of 12 feet. If it is set to cover only an arc measuring 195 degrees, which is the closest to the area, in square feet, the sprinkler will cover

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Answer: See the explanation for which answer you need, with and without pi.

Explanation:

Knowing that the sprinkler covers a diameter of 12, let's divide this in half and get the radius, which is 6 feet.

Next, the arc is 195 degrees, so the area of the arc is the following:

A = (θ/360°) × πr^2

A = (195/360) × π(36)

Note that 36 is radius squared, which 6 squared is 36.

195/360 simplifies to 13/24

Multiply the given function and here are two answers:

- With pi in it's symbolic form, it is 19.5π feet squared.

- With pi as a decimal, it is estimated 61.26 feet squared.

User Denison Luz
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