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 ϕ = π/4. Its center is the Kenmotu point X_371, and it has radius R_K | = | R(sin ω)/(sin(ω + 1/4 π)) | = | (sqrt(2)R sin ω)/(cos ω + sin ω) | = | (sqrt(2)a b c)/(4Δ + (a^2 + b^2 + c^2)), where R is the circumradius of the reference triangle, ω is the Brocard angle, and Δ is the area of the reference triangle.

Kenmotu point | Tucker circles