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Estimate the Value of π Using Probability - Monte Carlo Method

Estimate the Value of π Using Probability - Monte Carlo Method
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2026-01-03 17:46
CircleCoordinate GeometryProbability & Statistics
In collections Pi Approximations
This example estimates the value of pi by simulating random points falling within a unit circle. It involves core concepts of probability and coordinate geometry. Commands used include Polygon, Sequence, KeepIf, Length, and Midpoint. Suitable for high school math education and students learning probability and statistics.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4) → quadrato, f, g, h, i, C, D
  2. Sequence(RandomPointIn[quadrato], k, 1, quanteFrecc) → allPts, {(0.03741627389361346, -0.003943707706020927)}
  3. KeepIf(IsInRegion[P, bersaglio], P, allPts) → allPtsInCircle
  4. Length(allPtsInCircle) → countIn
  5. Midpoint(A, C) → K
  6. KeepIf(¬IsInRegion[P, bersaglio], P, allPts) → allPtsOutsideCircle

AI Drawing Prompt Reference

Draw a unit circle and some random points. The distribution of points inside and outside the circle can be used to estimate π. The relationship between the circle's boundary and the points can be shown through a geometric figure.
The prompt above was compiled from the original drawing commands and is for reference only.