to 10 decimal places

Image to Crop

Generate π to 10 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 10 digits using Gauss-Legendre

abcxπ = (a + b)^2/4c
10.70710678118654750.2512.9142135623
0.85355339059327370.84089641525371450.22855339059327380.85355339059327373.1405792505
0.84722490292349410.84720126674689130.22847329108090080.84722490292349413.1415926462
0.84721308483519270.84721308475276520.22847329052223200.84721308483519273.1415926535

π to 10 digits = 3.1415926535


ncG1vNJzZmivp6x7rq3ToZqepJWXv6rA2GeaqKVfqLKivsKhZamgoHS%2BfrzIXmlprJ9af3F9j15paZyZnLa1vw%3D%3D