Ramanujan's π Approximation

π ≈ 3.14159...

Ramanujan's π Approximation

π ≈ [2√2 / 9801] * Σ ((4k)! * (1103 + 26390k)) / ((k!)^4 * 396^(4k))

This remarkable formula, discovered by Srinivasa Ramanujan in 1914, adds approximately 8 decimal places of accuracy with each term of the series.