ASU 320 All Soviet Union MO 1981 d < 4p, copy of convex polygon
Source:
July 23, 2019
convex polygonperimetergeometrygeometric inequalityinequalities
Problem Statement
A pupil has tried to make a copy of a convex polygon, drawn inside the unit circle. He draw one side, from its end -- another, and so on. Having finished, he has noticed that the first and the last vertices do not coincide, but are situated units of length far from each other. The pupil draw angles precisely, but made relative error less than in the lengths of sides. Prove that .