### Instruction: 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.### Response: I know that a regular hexagon can be divided into six equilateral triangles, each with a side length equal to the radius of the circle.
To find the area of one of these triangles, I can use the formula A = (s^2 * sqrt(3))/4, where s is the side length.
Plugging in s = 2, I get A = (2^2 * sqrt(3))/4 = sqrt(3) for one triangle.