How do we know π is infinite and never repeats? Proving pi is irrational

Happy Pi Day (3/14)! Everyone knows that pi is an irrational number, but how do you prove it? This video presents one of the shortest proofs that pi is irrational, and the proof requires only high school calculus to understand.

Niven's proof
http://www.ams.org/journals/bull/1947...
http://mathschallenge.net/full/irrati...
https://wp.me/p6aMk-8jZ

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https://en.wikipedia.org/wiki/Proof_t...
https://en.wikipedia.org/wiki/Aryabha...
http://www.sccfsac.org/science_math.html
https://wp.me/p6aMk-8jZ

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