5

Part of 1983 Swedish Mathematical Competition

Problems(1)

unit square covered with 3 equal disks with radius <= 1/sqrt2

Source: 1983 Swedish Mathematical Competition p5

Show that a unit square can be covered with three equal disks with radius less than

\frac{1}{\sqrt{2}}

. What is the smallest possible radius?

geometrycombinatorial geometrycombinatoricsdisksdiscsGeometric Inequalitiesmin