Center,Radius of a 3 Dimensional circle given 3 points

Thread starter ukmj
Start date May 19, 2008
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Circle Points

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To find the center and radius of a 3D circle defined by three points (a,b,c), (a1,b1,c1), and (a2,b2,c2), one must first establish the plane containing these points. The normal vector of the plane can be calculated using the cross product of vectors formed by the points. Once the plane is defined, the circumcenter can be determined, which serves as the center of the circle. The radius can then be calculated as the distance from this center to any of the three points. Further assistance can be provided by sharing specific attempts and difficulties encountered in the calculations.

May 19, 2008

ukmj

Say the points are (a,b,c),(a1,b1,c1),(a2,b2,c2).

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May 19, 2008

tiny-tim

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Welcome to PF!

ukmj said:

Say the points are (a,b,c),(a1,b1,c1),(a2,b2,c2).

Hi ukmj! Welcome to PF!

Show us what you've tried, and where you're having difficulty, and then we'll know how to help!

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