Just trying a problem - just seeing if I am on the right track.

Consider a circle of radius 6.I was never taught about the point where the medians of a triangle intersect, the point where the altitudes intersect, and the point where the perpendicular bisectors intersect. I'm pretty sure that information is needed for the problem.

- Find A, the area of the inscribed equilateral triangle.
- Find B, the area of the circumscribed equilateral triangle.
- Prove that the geometric mean of A and B is the area of the inscribed hexagon.

I just don't know where to start. Any help will be appreciated!!