I recommend you to watch the Ball Packing / Circle Packing example in our learning center: http://www.evolute.at/software-en/evolutetools-for-rhino/learning-center.html
Essentially you will need to create an initial mesh which you then optimize for closeness and the circle packing property. It is not straightforward to come up with a triangle mesh connectivity that will allow you to fulfill all boundary constraints, you will need to play around and gain some experience.
I also recommend you to read about the theory behind these circle packings here: http://www.evolute.at/technology-en/scientific-publications.html?id=30
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