Equation of a Circle in a Plane

Equation of a Circle in a Plane

A circle with centre $$c$$ and radius $$r$$ lying in a plane can be represented by:

$$|\vec r-\vec c|=r$$

together with the plane equation:

$$\vec n\cdot(\vec r-\vec c)=0$$

Usage

- Used to represent a circle in 3D space using its centre, radius, and plane.