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Problem 636. Spherical radius given four points

Created by Richard Zapor

Determine the radius of a sphere provided four non-coplanar points on the surface of the sphere.

 pts = [x1 y1 z1;
        x2 y2 z2;
        x3 y3 z3;
        x4 y4 z4]

Hint: See


 pts = [1 0 0;
        0 1 0;
        0 0 1;
       -1 0 0]

Problem Group

Solution Statistics

20 correct solutions 29 incorrect solutions
Last solution submitted on Apr 07, 2014