IMO LongList 1967, The Democratic Republic Of Germany 1
Source: IMO LongList 1967, The Democratic Republic Of Germany 1
December 16, 2004
geometryquadrilateralareamaximizationIMO ShortlistIMO Longlist
Problem Statement
Find whether among all quadrilaterals, whose interiors lie inside a semi-circle of radius , there exist one (or more) with maximum area. If so, determine their shape and area.