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Nilakantha Series is similar to the Leibniz series, but converges faster:

Gauss-Legendre Algorithm This algorithm is used to calculate 𝜋 π very quickly and it works as follows:

Srinivasa Ramanujan developed formulas that give very fast convergence for the calculation of 𝜋 π.

Wallis's Formula A multiplication formula derived by John Wallis:

Euler's Infinite Series Formula In this formula, 𝜋 π is related to the sum of the squares of all positive integers.

Leibniz Series The Leibniz formula expresses 𝜋 π as an infinite series: