to 5 decimal places

May 2024 · 1 minute read
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Generate π to 5 decimal places

Use Gauss Legendre Algorithm

Iteration Formula is below:

y = a
a=½(a+b)
b=√by
c = c - x(a-y)2
x = 2x

π  =  (a+b)2
  4c

Start with these initial values:

a = 1
x = 1

b  =  1
  2

c = ¼

π to 5 digits using Gauss-Legendre

abcxπ = (a + b)^2/4c
10.707106781180.2512.91421
0.853553390590.840896415240.228553390600.853553390593.14057
0.847224902910.847201266730.228473291100.847224902913.14159

π to 5 digits = 3.14159


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