✔ 最佳答案
Example of an equation of a circle in 3D:
x^2 + y^2 + z^2 = 81 and
5x - 4y + z + 3 =0
Since it can be transformed to a cicle in a 2D plane, just 3 points on the circle is enough to determine the centre as well as the radius.
e.g.
Given (1, 4, 8), (3, 6, 6), (4, 4, -7) on the above circle, by finding the intersection of the perpendicular bisectors(planes) of any two distinct line segments joining any two points and the plane contains the given 3 points, it can be found that the centre is (-5/14, 2/7, -1/14), and hence the radius is √(15834)/14.