Problem 44386. Circumscribed Pentagon?

I do believe that it was within the tolerance, though that last case did not touch the pentagon, as you mentioned. I slightly increased the radius in that test case to reduce the gap between the pentagon and circle.

Hi, goc3. Nice problem. I have one piece of feedback. I anticipated in a "Cody5:Hard" problem that the pentagon & circle couldn't be assumed to have the same centre if it weren't stated in the problem, but roughly they do seem to share a centre in the present Test Suite. If that is the case, then I suggest either explicitly mentioning it in the Problem Statement, or else adding more test cases where the shapes don't share a centre. An example of the latter would be a tiny circle centred midway along one of the edges of a large pentagon (correct answer 2, but would probably be misclassified if centres assumed equal). Regards, DIV

Agree with David.
Moreover it is not mentioned that pentagon is regular (didn't check all cases, but most of them are regular).