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Step-by-step explanation:
We may recall that a regular hexagon can be divided into 6 equilateral triangles, and thus the area of a regular hexagon is:
6[(s^2√3)/4], where s = side of the equilateral triangle and (s^2√3)/4 = the area of the equilateral triangle.
Since the radius of 12 also represents one side of the equilateral triangle, we can now determine the area of the hexagon.
For a hexagon inscribed in a circle, the radius of the circle is equal to the side of the hexagon. Therefore, in this situation, side of hexagon is 12. Formula for area of hexagon is ((3*square-root 3)/2)*a^2.
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