WOLFRAM|DEMONSTRATIONS PROJECT

Classical Approximations of Pi

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terms
method
Vieta
Wallis
Gregory
Euler
Euler variant
Machin
Since the discovery of
π
in antiquity, people have been fascinated with calculating its numerical value. Various infinite sums or products have been developed over the years. The success of such a method is determined by how fast it approaches its goal. This Demonstration compares several classical approximations for
π
and their rates of convergence.