6

Part of 2013 Czech-Polish-Slovak Junior Match

Problems(1)

min radius such 3 equal circles cover a square

Source: Czech-Polish-Slovak Junior Match 2013, Team p6 CPSJ

There is a square

ABCD

in the plane with

|AB|=a

. Determine the smallest possible radius value of three equal circles to cover a given square.

geometrycirclesequal circlessquare