Leibniz Approximation of pi

This program computes the decimal places of pi using Leibniz's formula. Watch them converge!

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pi/4 = 1 - 1/3 + 1/5 - 1/7 + 1/9 ...

The program performs this computation and prints the approximation after every iteration, so you can see the decimal places converging one by one.

There are three programs, each more efficient and accurate. The final program uses an averaging method to find a much better approximation after every 2 iterations.

Now includes visualisations of convergence

Cite As

Ben Nuttall (2026). Leibniz Approximation of pi (https://www.mathworks.com/matlabcentral/fileexchange/29554-leibniz-approximation-of-pi), MATLAB Central File Exchange. Retrieved .

General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.3.0.0

Added variations of original program including visualisations of convergence

1.1.0.0

Now includes visualisation of convergence.

1.0.0.0