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approximate value of pi

kaliprasad

Well-known member
Mar 31, 2013
1,309
we know a couple of approximate values of $\pi$ mostly $\frac{22}{7}$ and $\frac{355}{133}$ but one I found (from the net )interesting was sum of 2 surds $\sqrt{2} + \sqrt{3}$.if any one is aware of other of interesting observation kindly let me know.
 

Country Boy

Well-known member
MHB Math Helper
Jan 30, 2018
485
Not an approximation but a mnemonic: "May I have a large container of coffee". The number of letters in each word: 3.1415926.
 

Opalg

MHB Oldtimer
Staff member
Feb 7, 2012
2,712
There is a collection of weird and wonderful approximations for pi here. My favourite is the approximation $\frac{355}{113}$, which gives the first six decimal digits of $\pi$ correctly, even though the numerator and denominator of the fraction have only three digits. The reason for that is that the following term in the continued fraction expansion of $\pi$ is the large number 292.
 

Wilmer

In Memoriam
Mar 19, 2012
376
pi - log(23.141) = .000013282....
 

RLBrown

Active member
Apr 14, 2014
66