I need to figure out a way of calculating the dimensions x and y as shown on the attached image. I know the angles (in the example the inner circle is broken into 6 - 60 degree angles). I also know the diameters of both circles.

I have tried a bunch of approaches but I think I am missing some simple point that is not letting me see the solution.

David

![Eccentered circles](https://i.stack.imgur.com/QOzso.png)