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I need to measure a circular groove


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Sounds like an oval? If you have a model you should be able to extract a nominal circle segment from it.

Open that circle feature. Copy/paste the extracted segment. Set it 180° from the first. Add points.

Highlight both segments, tick "Group Circle Paths". Probe single points and constrain work-plane coordinates.

With curve, scan around the entire surface.  Recall the points into a nominal circle and set the evaluation to Maximum Inscribed Element"

Is the groove on a flat face, like for a face sealing O-ring? 

If so, you should be able to measure the inside and outside diameters of the groove and calculate the mean of the two diameters. You could probably also achieve a good representation of your "circle of symmetry" by recalling all of the feature points for both circles into a single circle with LSQ evaluation. Form deviation will be high, obviously, but the location and diameter output should be correct.

Wouldn't caliper distance do that? setting with min-min or min-max - i am not sure, but this should work.

And inverting that ( min-max / max-min ) should report max and min distance.

Otherwise should work intersections, right? Or am I missing something?

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