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 sixth-order 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.
