Identifying Diameter of a Ring of Circles within a ring of Circles.

[Stuart Davies]

Identifying size of ball for a ring of ball bearing inside another ring of Ball Bearings

If you have an Outer Ring of Circles all of the same diameter (YELLOW) with the centre of each ball bearing being on the circumference of acircle, and with them all touching. If you know the Diameter of the circles (YELLOW) Is it possible to calculate the diameterof an equal number of Circles (WHITE) on a Ring inside this Outer ring where eachof the circles (WHITE) touches each other, and also each ball bearing touches twoof the outer ball bearings, so that they fit perfectly inside that Outer ring of circles. If it is possible how would you do it?

THanks.....