The incentral circle is the circumcircle of the incentral triangle. It has radius
(1)

where is the area of the reference triangle and
(2)

Its center function is a sixthorder polynomial that does not correspond to any Kimberling center.
Its circle function is
(3)

corresponding to Kimberling center .
It passes through Kimberling centers for (Feuerbach point ), 115 (center of the Kiepert hyperbola), and 3024.