Some approximations for pi

A famous approximation is 22/7 nearly equal to 3.1428571 Another famous approximation is Plato’s approximation sqrt(2)+sqrt(3) nearly equal to 3.14626. Another approximation is the fourth root of 2143/22 given by Ramanujan. Some other approximations are sqrt(10) given by Aryabhatta and 355/113 given by some chinese mathematician. Some of my approximations are sqrt(9.9) correct to two decimal places which is very close to sqrt(2)+sqrt(3), Plato’s approximation and another is sqrt(9.8691) correct to four decimal places. A famous formulae is the Madhava-Leibniz series for pi although it converges very slowly to pi is located below.

1-1/3+1/5-1/7+1/9…= pi/4

These are my calculations I did.

Scratchpad 3  sqrt(10)           = 3.16227766017 355/113             = 3.14159292035 sqrt(2)+sqrt(3)     = 3.14626436994 sqrt(9.9)           = 3.14642654451  sqrt(9.8691)       = 3.14151237464 pi                  = 3.14159265359                                                                             --- https://instacalc.com/53108

https://en.wikipedia.org/wiki/Leibniz_formula_for_%CF%80

Thank you for reading this blog post,

Nunghead