A better packing of ten equal circles in a square

Let S be a square of side s in the Euclidean plane. A pucking of circles in S is nothing else but a finite family of circular disks included in S whose interiors are pairwise disjoints. A natural problem related with such packings is the description of the densest ones; in particular, what is the greatest value of the common radius r of n circles forming a packing of S? Clearly, the centres of n circles forming a packing of S are included in a square of side s 2r, and any two centres cannot have a distance smaller than 2r. Conversely, if n points of a unit square determine positive distances which are not smaller than a real number m, then the square S admits a packing of n circles of radius B, where