I need to put a specific arc into a rod. The radius of the arc must be precise. I created a round cutter with the correct dimensions but this cutter is mounted at 5* to provide relief; the honed top is now an ellipse and the arc is incorrect.

The obvious thing to do is not hone the top of the cutter on an angle, so as to preserve the perfect round cutter geometry (see solution A). But then if that cutter is placed on an angle for relief, what is the shape of the cut? Is is round or elliptical?
To guarantee the geometry, solution B seems the only correct method. But then there is no relief for the cut beyond the curve of the turned material itself. Is that enough?
Let me say that the round cutter needs to cut a single part--its longevity is not an issue. Although my project requires many of these cuts, they are all slightly different and I will make a separate cutter for each one. The cutter is simple O2 steel (hardened and tempered), cutting more O2 steel (untreated).
To get a sense of scale, the diameter of one cutter must be exactly 1.184 mm, one must be exactly 1.136 mm, the rest are slightly smaller. My machinery is marked to hundredths of a millimeter, and I use interpolation by eye for the thousandths.

The obvious thing to do is not hone the top of the cutter on an angle, so as to preserve the perfect round cutter geometry (see solution A). But then if that cutter is placed on an angle for relief, what is the shape of the cut? Is is round or elliptical?
To guarantee the geometry, solution B seems the only correct method. But then there is no relief for the cut beyond the curve of the turned material itself. Is that enough?
Let me say that the round cutter needs to cut a single part--its longevity is not an issue. Although my project requires many of these cuts, they are all slightly different and I will make a separate cutter for each one. The cutter is simple O2 steel (hardened and tempered), cutting more O2 steel (untreated).
To get a sense of scale, the diameter of one cutter must be exactly 1.184 mm, one must be exactly 1.136 mm, the rest are slightly smaller. My machinery is marked to hundredths of a millimeter, and I use interpolation by eye for the thousandths.
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