[theutopian]

I've always found the approximation of a circle to the limit as n -> inf of a polygon of n equal sides to be interesting. I do have a question though: is it possible to extend this method of exploration to reconcile the irrational property of pi? Because I'm somewhat discomforted with being satisfied with approximating our "best pi" to 3.14.

[MadVikingGod]

Think of irrationality as a form of infinite precision, such that no matter how many numbers you write down it’s always an approximation because there is always a more precise form. Now think of the number of sides as increasing your precision. Meaning there is an n such that every approximation after will read 3.14… and another for 3.141….