A regular hexagon is inscribed in a circle of radius 2 units. In square units, what is the area of the hexagon? Express your answer in simplest radical form.
The hexagon will be composed of 6 equilateral triangles with sides of 2
So....its area is
6 (1/2) (2)^2 * sin 60 =
3 * 4 * [ √3 / 2 ] =
6√3 units^2