Problem 44386. Circumscribed Pentagon?

Created by goc3

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Last Solution submitted on Jan 17, 2021

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Osman on 7 Dec 2017

Can there be a mistake about the answer for the last test suite? y_correct is given as 3 so the case where all edges are tangent to circle but when I draw it I see a pentagon that does not touch the circle at all and it is clearly visible without zooming so I don't think error is less than 0.02. I find the answer as y=4 which I think is correct. Can you please check it?

goc3 on 8 Dec 2017

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.

David Verrelli on 5 Jul 2018

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

Svyatoslav Golousov on 7 Sep 2018

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

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center circle circumscribe circumscribed cody5 five geometry inscribed pentagon radius vertex

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Problem 44386. Circumscribed Pentagon?

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Problem 44386. Circumscribed Pentagon?

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