On 7 Maj, 03:08, david petry <david_lawrence_pe...@yahoo.com> wrote: > On Monday, May 6, 2013 3:01:53 AM UTC-7, Timothy Murphy wrote: > > What does the teacher say to the school pupil who asks, > > "What do you mean by the circumference of a circle?" > > It can be explained intuitively in terms of wrapping a string around a cylinder.
Circumreference can be explained *exactly* by adding together all sidelengths of a uniform polygon where vertices approach a limit. It is easiest to start with a polygon because it is built by isoceles. Basicly you just go for an adequate smoothness and end up with giving the sidelengths as a fraction relation to the vertice of the hexagon. So 1/x * distance between center of polygon and vertex.