OK, it is not turning and it will not produce a circular arc, but you would get very close with a boring head in a mill and angling the head of the mill.
When the head is perpendicular to the table, it produces an infinite radius (flat surface). When it is parallel to the table, it produces a circular radius equal to the swept diameter of the cutter.
So at some angle between those two it will produce an elliptical arc which will be very close to the 39" circular radius needed.
Replace the single point tool of the boring head with an abrasive wheel and the ground finish becomes a possibility.
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There is also the method used in woodworking of calculating the sagitta of the arc, nailing two straight pieces together at an angle and swinging them between the two end points of the chord. The vertex sweeps out the arc.