Distribution of Euclidean Distance from Two Random Uniform Variables

Take a look at how the Euclidean distance of two random uniform variables is distributed.

The Monte Carlo Pi Approximation sketch inspired this sketch.

The monte carlo pi approximation generates a random point from two uniformly distributed random variables, and then computes the distance from the origin. I wondered how the distribution of such method looked like, so I made this sketch.

This stack exchange answer provides a nice graph of the distribution.