π

Monte Carlo Estimator

Paused

Random sampling approximation in real-time

Click / Tap canvas to place coordinates manually

Total Points

0

Inside Circle

0

Outside Box

0

Ratio (×4)

0.0000

Estimated Pi Approximation

3. 000000 Err: +100%
ACCURACY INDICATOR 0.00%

Convergence History Curve

Target Value: 3.14159...

How Monte Carlo Works: This method uses random sampling to estimate π. Points are randomly thrown at a square containing a quarter circle. Since the ratio of areas is π/4, counting points inside vs. total points gives us an approximation: π ≈ 4 × (inside points / total points). More samples = better accuracy!