"A method that is easier to understand and does not make use of the sin function is based on the fact that if \\\\( X \\sim U(0, 1) \\\\) and \\\\( Y \\sim U(0, 1) \\\\), then \\\\(P[X^2 + Y^2 \\le 1] = \\pi/4 \\\\) (see [\"Monte Carlo method\"\n",
"on Wikipedia](https://en.wikipedia.org/wiki/Monte_Carlo_method)). The following code uses this approach:"