I've used this algorithm when I worked at a 3D-printing company, to check if its impossible to rotate a model to fit the rectangular build platform. We chose to use the diameter of a polygon because we didn't want to proceed with some more expensive calculations if the model definitely could not fit in the build platform, while being able to accommodate any possible model.

When I was trying to learn about the algorithm on the job, I actually used a Codeforces post (although I can't find that post right now).