How to get the radius of a circumference given some points

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Do you guys know of any program that can give me the radius of a circumference, if I input the cartesian coordinates of some points?
 
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its usually trivial enough to do by hand.
if you have to do it a lot, you use a math scripting program like gnu octave.
a lot depend on details... i.e. too few points and there will be no unique radius.
niggle: a circumference does not have a radius, but a circle has both.