Consider the arrangement of circles of equal radii with their centres arranged as per the 2-dimensional lattice defined by a=b,theta=60^@ such that each circle is touching all its nearest neighbours.If all the void areas present are additionally occupied by smmaller circules of relevent size so that the void circles are just contacting their neighbours find the packing efficiency of the configuration in percent.

Consider the arrangement of circles of equal radii with their centres

1.	Consider the arrangement of circles of equal radii with their centres arranged as per the 2-dimensional lattice defined by a=b,theta=60^@ such that each circle is touching all its nearest neighbours.If all the void areas present are additionally occupied by smmaller circules of relevent size so that the void circles are just contacting their neighbours find the packing efficiency of the configuration in percent.
Answer» Solution :PACKING FRACTION`=(1/2 PI R^2+pi(0.155R)^(2))/(1/2(2R)^2sqrt3/2)xx100=95%`