Circle geometry - a life without Pi

Disappointed by the irrationality of Pi?
I wasn't until I read about Jesse Yoder's "Circle Geometry" article here.
Jesse's "Diminishing Circle Argument" purports to show us lay-people how to live a life without Pi, once and for all.

It argues that, by making circular paths primitive, you can show that the diameter of a circle is the same length as half the circumference.

That's right, you can do away with the familiar (and yet so inelegant)
C = πD = 2πr
and replace that π with a beautiful 2.
C = 2D = 4r.

For my graphical description of the argument, go here.

Thanks to Jack Barton for putting me onto this.