IMO Shortlist 1989 problem 7


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2. travnja 2012.
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Show that any two points lying inside a regular n-gon E can be joined by two circular arcs lying inside E and meeting at an angle of at least \left(1 - \frac{2}{n} \right) \cdot \pi.
Izvor: Međunarodna matematička olimpijada, shortlist 1989