Calculate pi from random numbers quick numerical approximation of pi using random points. #shorts

Generating π from 1000 random numbers:

Animation showing how to calculate pi from random numbers, including explanation of the basic math ideas behind the random numbers quick numerical approximation of pi.

We show the animation of random points filling in a square of side length two. The square has a circle of radius 1 inscribed, and the fraction of random points landing inside the circle gives us an approximation of pi/4. Multiply by 4 at each step, and we have a numerical approximation of pi using random points in the plane!