Is there a way to identify whether a face is of circular shape and it's center?. All I have is the face and it's vertices.
closed as unclear what you're asking by Hans Lundmark, Lord Shark the Unknown, KReiser, Rebellos, Cesareo Dec 7 '18 at 11:50
Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
Three non-aligned points are enough to unambiguously define a circle. You find the center as the intersection of two mediatrices. http://www.manufacturinget.org/2011/07/construct-circle-through-three-points/
When you have the center, you can check that all points are at the same distance from it.
Given a list of $(x_i,y_i)$ pairs, representing points in the plain, see if you can predict $x_i^2+y_i^2$ with an affine function of $(x_i,y_i)$, by, say, least squares. If your points lie exactly on a circle, the residual sum of squares should equal 0.