Question

To construct the regular hexagon, the radius length AB is used to mark the vertices of the hexagon. Can this method be used to make any regular inscribed polygon, such as a square?

Answer 1

The correct answer is:

No, it will not work for all regular inscribed polygons.

Explanation:

If we were to inscribe a regular hexagon inside a circle using this method and then try to inscribe a square using the same method, we would see that the arcs made using the radius would not give us 4 congruent sides.  This would not work.