Maximum inscribed circle

Hi all,

I have a grasshopper/math question. Is there an algorithm or method for finding the maximum circle that can be inscribed inside a curve? I've found a way of finding the minimum enclosing circle, now I'm trying to find the maximum circle that can be put inside a circular curve with one or more points on the curve being coincident and none of the points being contained. I was trying to figure this out with the containment component and galapagos, but couldn't get it to work. Any ideas?

Thanks,

Ali