Fillet Radius Command

Please see the attached example drawing. Applying a fillet radius using the fillet command between 2 arcs does not add the fillet in the desired location.

What should be a fairly simple feature to create becomes an unnecessarily long winded process.

I have tried to add the fillet using the arc command but it will not e-snap to a tangent to the existing arcs.

The best way so far seems to be using the Circle; Tangent, Tangent, Radius command then splitting the circle and trimming the ends.

Does anyone have any other suggestions?