To find the coordinates of point $C$, I'll need the information provided in the diagram or the mathematical relationships involving point $C$. If it is part of a geometric figure, the location of $C$ might be determined using:

1. Geometric Relationships: Distances, slopes, or midpoints from other points.
2. Equations: If part of a line or curve, the coordinates can be solved from the equation.

Please clarify or upload the diagram so I can analyze and extract the details!