Math

5 Facts You Should Know About Pi (Happy Pi Day!)

Happy Pi Day! At 3/14/15 at 9:26 the time will be accurate to pi for 7 decimal places. What’s your favorite fact about pi?

Links to proofs and more below in the description.

1. The definition 00:10

Related: the area of circle intuitive explanation

2. Pi is irrational 00:47

Proof (video)

Proof (blog post)

Proving Pi is Irrational: a step-by-step guide to a “simple proof” requiring only high school calculus

Pi is transcendental (technical)
http://en.wikipedia.org/wiki/Lindemann%E2%80%93Weierstrass_theorem

3. Archimedes estimated pi 01:42

BetterExplained post
http://betterexplained.com/articles/prehistoric-calculus-discovering-pi/

4. Infinite series for pi 03:28

Madhava-Leibniz series
http://en.wikipedia.org/wiki/Leibniz_formula_for_%CF%80

Euler
http://en.wikipedia.org/wiki/Basel_problem

Chudnovsky algorithm
http://en.wikipedia.org/wiki/Chudnovsky_algorithm
http://www.numberworld.org/misc_runs/pi-12t/

5. Pi in probability 04:34

Normal curve
http://en.wikipedia.org/wiki/Normal_distribution

Buffon’s needle problem http://mindyourdecisions.com/blog/2013/05/27/buffons-needle-problem/#.VPo1S_nF98E

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