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Π Digits Calculator

Alexander Ross • • 2 min read
Π Digits Calculator
π Digits Calculator

Generate π to 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 digits using Gauss-Legendre

abcxπ = (a + b)^2/4c
10.7071070.251
0.8535530.8408960.2285540.853553

π to digits =

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What is the Answer?

π to digits =

How does the π Digits Calculator work?

Free π Digits Calculator - Calculates PI (π) to a set number of decimal places using the Gauss-Legendre Algorithm.
This calculator has 1 input.

What 2 formulas are used for the π Digits Calculator?

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

For more math formulas, check out our Formula Dossier

What 4 concepts are covered in the π Digits Calculator?

π digits
algorithm
A process to solve a problem in a set amount of time
decimal place
the position of a digit to the right of a decimal point.
pi
A letter of the greek alphabet used for math notation.
Π  π

Example calculations for the π Digits Calculator

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Alexander Ross
Author

Alexander Ross

Alexander Ross has covered the video game industry for a decade, writing deep dives on game design, esports tournaments, VR developments, and gaming culture.