Computing Pi using the Monte Carlo Method

  1. Start the simulation: Click on the "Start" button to begin the experiment.
  2. Number of points: Use the slider to select the number of points to be plotted on the graph. The more points you plot, the more accurate your results will be.
  3. Plot points: Click on the "Plot Points" button to generate random points on the graph.
  4. Calculate Pi: Click on the "Calculate Pi" button to see the estimated value of Pi based on the plotted points.
  5. Reset: Click on the "Reset" button to clear the graph and start over.

Experiment Controls

  • Number of Points Slider: This slider allows you to control the number of random points generated in the simulation. A higher number of points generally leads to a more accurate approximation of Pi.
  • Plot Points Button: This button initiates the process of generating and plotting the random points within the square.
  • Calculate Pi Button: This button calculates and displays the estimated value of Pi based on the ratio of points inside the circle to the total number of points.
  • Reset Button: This button clears the simulation, allowing you to start a new trial.