MathDB

(546) 7

Part of 1997 Tournament Of Towns

Problems(1)

one can translate each strip // to itself so that together they cover circle

Source: TOT 546 1997 Spring S A7 - Tournament Of Towns

9/11/2024
Several strips and a circle of radius 11 are drawn on the plane. The sum of the widths of the strips is 100100. Prove that one can translate each strip parallel to itself so that together they cover the circle.
(M Smurov )
geometrycombinatoricscombinatorial geometry