# circle with three points

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CaiX on 1 Dec 2019
Answered: Image Analyst on 1 Dec 2019
Im writing a program that accepts three points (?, ?) on a circle in a 2- dimensional Cartesian plane as input and returns the center, radius, and vectors ABC from the general equation of a circle ?^2 + ?^2 + A? + B? + C = 0. I know that one can systems of linear equations to solve for ABC however, I don't know how to do it. I started with the program below:
x1 = input('\nEnter first X coordinate: ');
y1 = input('\nEnter first Y coordinate: ');
x2 = input('\nEnter second X coordinate: ');
y2 = input('\nEnter second Y coordinate: ');
x3 = input('\nEnter third X coordinate: ');
y3 = input('\nEnter third Y coordinate: ');
eq1 = x1D + y1E + F == -(x1*2)+(y1*2);
eq2 = x2D + y2E + F == -(x2*2)+(y2*2);
eq3 = x3D + y3E + F == -(x3*2)+(y3*2);
I'd appreciate any help and suggestion. Thank you very much :)
Stephane on 1 Dec 2019
An answer here (File Exchange entry) ?

Jim Riggs on 1 Dec 2019
Try this.

Image Analyst on 1 Dec 2019