A spotlight can be adjusted to effectively light a circular area of up to 6 meters in diameter. To the nearest tenth, what is the maximum area that can be effectively lit by the spotlight?

please tell me how to figure this out with steps

Expert Answers

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The spotlight can effectively illuminate a circular region of diameter 6m.

The area of a circle is found by A=pi*r^2 where pi is a constant (pi is about 3.14159 or 22/7) and r is the radius.

Here the radius is 3m (1/2 of the diameter.)

So the area is (3.14159)(3)^2 or about 28.2743 square meters. Rounding to the nearest tenth of a square meter we get 28.3 m^2.

The area is about 28.3 square meters.

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