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The paper reports a generalized expression for filling the congruent circles(of radius r) in a circle (of radius R). First, a generalized expression forthe biggest circle (r) inscribed in the nth part of the bigger circle (R) wasdeveloped. Further, it was extended as n such circles (r) touching each otherand the bigger circle (R). To fill the bigger circle (R), the exercise wasfurther repeated by considering the bigger circle radius as R-2r, R-4r and soon. In the process, a generalized expression was deduced for the total no. ofsuch circles (r) which could be inscribed in this way of filling the biggercircle (R). The approach does not claim the closest packing always though itcould be helpful for practical purposes.

A generalized expression for filling congruent circles in a circle