# How do we know $\pi$ is a constant? [duplicate]

How did the ancient Greeks discover that the ratio of a circle's circumference to its diameter is constant? It does not seem so intuitive. Thanks!

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I don't know the answer [hence why I'm posting this as a comment], but I suspect that it wasn't proved rigorously [at least, not at first]. Rather, I suspect they'll have tested it on loads of circles and thought 'wow, this is, like, the same each time, lol'. But I'm open to being corrected. –  Clive Newstead Apr 16 '13 at 20:31
It seems perfectly obvious to me. Like so many important discoveries $-$ Darwin's theory of evolution, for instance $-$ it only needed to be stated. –  TonyK Apr 16 '13 at 20:31
How do you know the ratio of a square's circonference to its side is 4? –  Raskolnikov Apr 16 '13 at 20:36
@CliveNewstead The classics would be so much more entertaining if they were interspersed with "lol" and "omg" :) –  rschwieb Apr 16 '13 at 20:56