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May 5th, 2015, 01:47 PM   #1
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Smile Circumscribed circle to tangent circles

Hy guys,

Need some help to solve this problem.

I have a geometrical arrangement with 2 kinds of circles. Circle A has radius Ra and B has radius Rb. The number of circles A is na and the number of circles B is nb. It's also known that all circles are tangent Like the picture below. I'd like to determine the Radius of the Circumscribed circle to this arrangement, R, as a function of Ra, Rb, na and nb.

Mathissue.jpg

Any help appreciated!
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