smart people, help a less smart one out:

I'm faced with a problem similar to the seven circles theorem
(http://mathworld.wolfram.com/SevenCirclesTheorem.html) in that i need
to arrange x number of circles along a circular path, making sure they
all touch their two neighbors. In this way, the path's radius is NOT
given, but is rather made up from the sum of all the circles' diametres.

I've boiled the problem down to this: I have a line of x length with y
number of segments of nonuniform length. I know the final length of the
line because i know the length of each individual segment.

Now, i need to "bend" this line so that the end of the final segment
touches on the beginning of the first one. As such, each segment must be
given an angle somehow based on the overall amount of segments and their
individual lengths.

Beyond this, i'm stumped. I've been pouring over mathworld and google
looking for such bendyness, and i've come up empty handed.

Anyone have suggestions, possible solutions?

Thanks,

- A
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