Three Touching Circles of different Sizes

[Acorn]

The Challenge is to ensure that three circles, each of a different diameter, can be aligned so that their edges just touch.

Again, I stress, only circles can be used in your construction - no math / maths expected, required or wanted.



I chose 100, 200 & 300px diameters but I am happy for any solution where each value is different and, importantly, the solution is independent of the presented sizes.
When I checked for accuracy, I found a gap of 1/100th of a pixel.

Acorn