Square packing with graph

It introduces a symbolic formula for estimating the number of axis-aligned squares of fixed side lengthx that can be fully packed within a circle of radius r. The formula is constructed to ensure that eachsquare lies entirely within the circle and provides a conservative approximation of the total packed area.We prove that this area converges to πr2as x → 0, and that all square placements satisfy chord-basedcontainment constraints. A convergence graph is included to illustrate the accuracy of the method. Thisresult contributes a discrete symbolic framework to the study of geometric packing problems.