The Regular Hexagon
Draw and Explain of menthod to draw the Regular Hexagon inscribed in a circle and ruler : By Definition of a Hexagon, each side of a regular hexagon is equal to the distance from the center to any vertex. This construction simple sets the compass width to that radius, and then steps that length off around the circle to create the six vertices of the hexagon.
Also, Here is a menthod to construct Maximum Regular Hexagon From Square