Build a circumference, using Circle with center point.
Let Line1 be a line passing through the center A and a point B on the circumference , using Line, this line inersects the circumference in a point C. The segment CB is the diameter of the circumference.
Build two circumferences, Circle2, Circle3, centered in C and in B and passing through A, using Circle with center point; they intersect the first circumference in E, F and in G, H, respectively.
Build six segments, CG, GF, FB, BE, EH, HC, using Segment with two points.
As the chords BF and CG are equal to the radius AB, the arcs BF and CG are sixth parts of the circumference; so, also the arc FG is sixth part of the circumference. At the same way, what about the arcs BE, EH, HC, you have that the poligon CGFBEH is the desired hexagon, because its vertexes divide the circumference in six equal parts.

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