// multi-utility computation suite · offline · instant · precise
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math.monte-carlo-pi Calculator
Estimates π by Monte Carlo sampling — random points in a unit square, counting those inside the inscribed quarter circle. Monte Carlo simulation demonstrates that random sampling can solve deterministic problems — the ratio converges to π/4 as sample size grows.
Inputs
Samples
Reference formula or conversion factor shown for context.
Results
π estimate
The value at the specified point or condition.
actual π
Reference formula or conversion factor shown for context.
error
The difference between the computed result and the exact or true value — a measure of approximation accuracy.
relative error
The difference between the computed result and the exact or true value — a measure of approximation accuracy.
samples N
Sample size or count used in the calculation.
expected error ∝ 1/√N
The difference between the computed result and the exact or true value — a measure of approximation accuracy.