How to get the radius of a circumference given some points

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SUMMARY

The discussion centers on calculating the radius of a circle from given Cartesian coordinates of points. Users recommend utilizing GNU Octave, a powerful math scripting program, for efficient computation, especially when handling multiple sets of points. It is emphasized that having too few points can lead to ambiguity in determining a unique radius. Additionally, a clarification is made that while a circumference does not possess a radius, a circle does.

PREREQUISITES
  • Understanding of Cartesian coordinates
  • Basic knowledge of circle geometry
  • Familiarity with GNU Octave
  • Concept of unique solutions in mathematical problems
NEXT STEPS
  • Explore GNU Octave for mathematical scripting
  • Learn about circle equations and their properties
  • Investigate methods for fitting circles to points in computational geometry
  • Study the implications of point quantity on geometric uniqueness
USEFUL FOR

Mathematicians, data analysts, software developers, and anyone involved in computational geometry or needing to calculate circle properties from point data.

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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.
 

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