That was an EXCELLENT read, thank you.

I was a math major in college, and somethings you learn how to work out mechanically and understand intellectually.

I dont do anything remotely close to academic, undergraduate mathematics, but it's interesting how now that I'm older i seem to understand things better, to internalize them beyond something mechanical or simply accepting them because they make logical sense.

Wish I'd had that type of understanding in school.

This explanation is very intuitive - and the author makes a good point. There might be better ways to introduce pi other than the ratio of the circumference of a circle to its diameter.