What do we mean by constructing a regular polygon with n sides?
For each postive integer n > 2, a regular polygon with n sides (or simply a regular n-gon) is a polygon in a plane whose vertices lie on a circle C in a plane and whose sides are congruent line segments. If A is the center of the circle C, then A is the center of the regular n-gon. .The radius of the regular n-gon is the radius of the circle C. We also use the term radius to refer to any line segment joining the center of a regular n-gon to one of its vertices. Our objective in this part of Unit 1 is to discuss the following problem: Construction of the Regular n-Gon Problem: Given a line segment AB and a positive integer n > 2, construct a regular polygon RP[n] with n sides such that A is the center of the polygon and |AB| is the common length of all the line segments joining the center A to any vertex B of RP[n].
