$$\begin{gathered} \mathrm{plots}:-\mathrm{display}\left( \mathrm{plottools}:-\mathrm{circle}\left(\left[0\,0\right]\,1\right)\, \\ \mathrm{plottools}:-\mathrm{curve}\left(\left[\left[-1\,1\right]\, \left[-1\,-1\right]\, \left[1\, -1\right]\, \left[1\,1\right]\, \left[-1\,1\right]\right]\right)\right) \end{gathered}$$

We uniformly scatter points over the square. This is equivalent to randomly sampling points from a Uniform distribution between the minimum value $-1$ and the maximum value $1$.

We count the total number of objects as well as the number inside of the square. We can note that if $x^2\+y^2\le 1$, a given point falls inside the circle; otherwise, it falls outside.

The ratio of the two counts is an estimate for the ratio of the two areas. Multiplying this by 4 gives an estimate for $\mathrm{\π}$.