# Pi (Ramanujan's formula) Calculator

## Calculates circular constant Pi using the Ramanujan-type formula.

 formula Ramanujan 1 1914 Ramanujan 2 1914 Chudonovsky 1987 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 The calculation ends when two consecutive results are the same.The accuracy of π improves by increasing the number of digits for calculation.In 1914, the Indian mathematician Ramanujan discovered the formula for computing Pi that converges rapidly. In 1987, Chudnovsky brothers discovered the Ramanujan-type formula that converges more rapidly.Ramanujan's formula for Pi$\normal\\\vspace{5}(1)\ Ramanujan\ 1,\ 1914\\\hspace{10}{\large\frac{1}{\pi}}={\large\frac{\sqrt{8}}{99^2}\sum_{\small n=0}^{\small\infty}\frac{(4n)!}{(4^n n!)^4}\frac{1103+26390n}{99^{4n}}}\\\vspace{5}(2)\ Ramanujan\ 2,\ 1914\\\hspace{10}{\large\frac{4}{\pi}}={\large\frac{1}{882}\sum_{\small n=0}^{\small\infty}\frac{(-1)^n(4n)!}{(4^nn!)^4}\frac{1123+21460n}{882^{2n}}}\\\vspace{5}(3)\ Chudonovsky,\ 1987\\{\large\frac{1}{\pi}}=12{\large\sum_{\small n=0}^{\small\infty}\frac{({\small-}1)^n(6n)!}{(3n)!(n!)^3}\frac{13591409{\small+}545140134n}{(640320^3)^{n+\frac{1}{2}}}}\\$

Pi (Ramanujan's formula)
 [1-7] /7 Disp-Num5103050100200
[1]  2018/09/27 23:50   Male / 30 years old level / An office worker / A public employee / A little /
Purpose of use
Just curious due to my undergraduate training in pure math, as well as Ramanujan's religion experience's help on the novel math discovery
[2]  2017/10/14 05:36   Female / Under 20 years old / High-school/ University/ Grad student / Useful /
Purpose of use
Wanted to find Ramanujan''s formula for pi because I was told it''s messy as heck. It is.
[3]  2015/11/11 10:28   Male / Under 20 years old / High-school/ University/ Grad student / Useful /
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Mathematics EE for International Baccalaureate
[4]  2015/03/07 03:38   Male / 60 years old level or over / A retired people / Useful /
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Checked out these methods because of my curiosity and background in mathematics.....
Comment/Request
Keep on making these items available to the general public...
[5]  2015/02/10 03:41   Male / 40 years old level / An engineer / Useful /
Purpose of use
actually looking for binomial expansion pi = -2 + 2*series where series = 2^r/(n, r)
[6]  2014/11/06 13:55   Male / Under 20 years old / Elementary school/ Junior high-school student / Very /
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school project
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details.
[7]  2014/07/11 02:13   Male / Under 20 years old / Self-employed people / Very /
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Ramanujan method in hindi
Comment/Request
Ramanujan method translate into the hindi

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