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

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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...

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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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