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**SoftwareTester** I have a reactangle of 2.50 x 2.85 m

I want to put as many cicles of a certain size in this reactangle as possible. How can I calculate (and arrange) those circles?

Practical case:

In a rectangular drainage channel i want to put one turbine or a matrix of (smaller but identical) turbines. Radius of turbines can vary from 0.30 m until 1.20 m incremented with 0.05 m.

I calculated already

a) 4 x 4 turbines of 0.30 m --> 63% of the area occupied

b) 3 x 4 turbines of 0.35 m --> 65%

c) 2 x 2 turbines of 0.60 m --> 63%

d) 1 turbine of 1.20 m --> 63%

But I wonder if another arrangement and/or size could use the gaps in between the turbines in the matrices described above (as height is 2.85 m)