How to get all the coordinates of a circle knowing one of the points on the circle?

Question

Mathematics

How to get all the coordinates of a circle knowing one of the points on the circle?
What is the formula for this to use to generate some points and form a circle?

Answer 1

No way. One point belongs to an infinite number of circles.
A circle can be uniquely constructed from several inputs:

1. Center and Radius
   
2. Centered and a point on a circle. Reduces to the previous one.
   
3. Three points. Reduces to finding the circle circumscribed about the triangle