Circular complex arithmetic 
consists of a complex number 
, acting as a center point and a real number 
acting as a radius of a circle in a two dimensional cartesian space. As such any number that is within radius
of the pivot is contained in the interval. The mathematical definition a complex circular interval 
is as
follows:
Where 
as the radius of the circle and 
as the center point in a two dimensional cartesian
coordinate system.