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Classical Approximations of Pi


	Since the discovery of 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 and their rates of convergence.


	Contributed by: Rob Morris
	Show Initialization Code

Here are the various methods used in this Demonstration:

Vieta's formula:

Wallis's product:

Gregory series:

Euler's series:

Euler's series variant:

Machin's arc tangent formula:

Contributed by: Rob Morris

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