The orthocentroidal circle of a triangle is a central circle having the segment joining the triangle centroid and orthocenter of as its diameter (Kimberling 1998, p. 234). Since the Euler line passes through and , it therefore bisects the orthocentroidal circle.
It has circle function
(1)

which corresponds to the circumcenter . The center of the circle is Kimberling center , which has equivalent triangle center functions
(2)
 
(3)

The circle has radius
(4)
 
(5)

where is the circumradius of .
The circle does not pass through any notable centers other than and , which are Kimberling centers and , respectively.
It is orthogonal to the Lester circle and Stevanović circle.
The orthocentroidal circle of any triangle always contains the incenter (Guinand 1984). This is an interesting observation since it means that the incenter is always "close" to the Euler line of the triangle (although it does not lie on it).