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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