IMO 1969 LL GDR33

Given a ring G in the plane bounded by two concentric circles

IMO 1969 LL GDR33

Origin: GDR

Problem

Given a ring G in the plane bounded by two concentric circles with radii R and R/2, prove that we can cover this region with 8 disks of radius 2R/5. (A region is covered if each of its points is inside or on the border of some disk.)