The Kenmotu circle is the circle passing through the six contact points of the congruent squares used in the construction of the Kenmotu point
with the triangle sides. It is a Tucker circle
with parameter 
.
Its center is the Kenmotu point 
, and it has radius
 |  |  |
(1)
|
 |  |  |
(2)
|
 |  |  |
(3)
|
where 
is the circumradius of the reference
triangle, 
is the Brocard angle, and 
is the area of the reference
triangle.
Its circle function corresponds to Kimberling center 
.
No Kimberling centers lie on the Kenmotu circle.
