Estimate pi using the Monte Carlo method and review the random-sampling logic beside the simulation.
Last updated: March 2026 | By ForgeCalc Engineering
The Logic
pi approx 4 x (Points Inside Circle / Total Points)
The Monte Carlo method uses random sampling to estimate a value. Here, it compares random points inside a square with the portion that lands inside the inscribed circle.
Example: More random points usually produce a more accurate estimate.
Does more iterations improve accuracy?
Usually yes. Larger samples tend to make the estimate closer to pi.
Why is the estimate multiplied by four?
Because the circle occupies pi/4 of the square when the radius is 1.
Is this deterministic?
No. It uses random points, so each run can vary slightly.
Can I reset the chart?
Yes. Use the reset button to clear the points and estimate.
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