Equation of Circle in Complex Plane/Examples/Imaginary Radius 2, Center (2, 0)

Example of Use of Equation of Circle in Complex Plane
The equation:
 * $z \overline z - 2 z - 2 \overline z + 8 = 0$

describes a circle embedded in the complex plane whose center is at $\tuple {2, 0}$ and whose radius is $2$ imaginary units.

Proof
The result follows from Equation of Circle in Cartesian Plane, except that the square of the radius is $-4$.

Hence the radius has do be described as $2$ imaginary units.