IMO Shortlist 1967 problem 1
Dodao/la:
arhiva2. travnja 2012. Find whether among all quadrilaterals, whose interiors lie inside a semi-circle of radius
![r](/media/m/3/d/f/3df7cc5bbfb7b3948b16db0d40571068.png)
, there exist one (or more) with maximum area. If so, determine their shape and area.
%V0
Find whether among all quadrilaterals, whose interiors lie inside a semi-circle of radius $r$, there exist one (or more) with maximum area. If so, determine their shape and area.
Izvor: Međunarodna matematička olimpijada, shortlist 1967