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sci.Monte-Carlo-pi-estimation Calculator
Estimates π by generating random points in a unit square and counting those inside the quarter-circle: π ≈ 4 × hits/N. Monte Carlo π converges as 1/√N — 10⁶ points give accuracy of ~0.001; the method illustrates statistical sampling without being computationally efficient for π.
Inputs
N Samples
Count of items or occurrences.
Hits
Count of items or occurrences.
Results
π estimate = 4 × hits/N
The value at the specified point or condition.
absolute error from π
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.
expected std error ≈ 1/√N
The difference between the computed result and the exact or true value — a measure of approximation accuracy.