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