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🎯 Monte Carlo π Estimator

Throw random darts at a unit square with an inscribed circle of radius 1. The ratio of hits inside the circle to total darts converges to π/4, so π ≈ 4 × (inside / total). A classic demonstration of random sampling.

π Estimate

actual π = 3.141592653…

Controls

Statistics

Total darts0
Inside circle0
Error
Convergence
Tip: The error shrinks roughly as 1/√N. You need ~4× more darts to halve the error. The bottom chart shows the π estimate converging over time.