Circumscribed tangent circles.

[Krikor]

Is there a way to get that kind of circle arrangement with Gimp?
   
For example, knowing the radius, or the diameter and the number of desired circles, how to proceed to create this formation without the circles overlapping (only touching each other tangentially) forming a circle of circles.

I got something very close to this using (Ottia Tuota) Markku Koppinen's replicate path along circle plugin, but the adjustment between the source path and base path was on a trial and error basis.

In the image above, Inkscape was used.

I tried with the ofn-path-to-shape plugin, but I wasn't able to get anything close.

Any suggestion?

Thx!

PS.: Sorry about the title, but that's what I could come up with.