What is the difference between constructing a square and constructing a regular hexagon?

a
The diameter of the circle is used for the square construction, but the radius of the circle is used for the regular hexagon construction.

b
The radius of the circle is used for the square construction, but the diameter of the circle is used for the regular hexagon construction.

c
The square will need two arcs along the circle, but the hexagon will need two arcs above and two arcs below the diameter of the circle.

d
The square will need six arcs along the circle, but the hexagon will need two arcs above and two arcs below the diameter of the circle.