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Radius at a specific angle


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I am measuring a circle and need to report the radius at a specific angle.
Lets say I have an ID with an interrupted scan path and I need to know the radius at 14° which may be in the interrupted area of the scan.
What would be the best way to achieve this?
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Intersect with theoretical 3d line at 14° ??
make intersection point polar and get it's CoordPolRad ?

that is one way , Im sure there are many others. I might ensure the 3dline has the same Z as the circle for example so it always calculates.
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Chris,
Thanks for the reply.
I was already using the intersect method as you suggested. I was looking to see if there were other options as well.
Strangely, when I create 4 equally spaced intersect points and add the radii of 2 opposing points, I get the exact same value if I do the same with the other 2 points.
I would think I would see some difference. Its the same out to 7 decimal places.
This circle has 0.0045" roundness.
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Is the interrupted surface like the inside of a wheel with a spoke in the way. I'm just trying to visualize the geometry.
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How 'interrupted' , as interrupted as I am when Im in the office on a daily basis ? 🤣 😃 lol, j/k

But more seriously, : 1 interrupt ? how many degrees of arc are there to measure ?
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I hate to get technical, but what do we mean by "radius" here, especially when we are talking about the interrupted part? Is it a distance from a theoretically perfect center, or are we talking an average (or some other evaluation) from the measured points? The former, I would think, would be practically impossible in an area that doesn't have any material, right?

When Calypso reports out the radius/diameter, it is creating the best perfect circle from the data, so there really isn't a radius "at 14 degrees", it just "the radius" because it's the same everywhere, so I think we are having more of a question of definition than actual measurement at this point.

As far as the intersection is concerned, Calypso will use the evaluated circle, so I'm not surprised it's the same for both sets of points and it's two lines intersecting along a perfect circle.
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So I am scanning a 214 mm circle on an ID and there are 11 gaps (interrupts) not equally spaced, that are roughly 6.5 mm wide.
Each of the intersect points are measured to the center which is the OD.
On each of the 2 sets of opposing points one of the points lands in a gap.
I was asked to give a diameter at 14° and another diameter 90° from it.
I thought getting the radius points and add them together would be sufficient.
Is there another way to go about getting a diameter at a specific angle?
Look at that, I just changed my topic. 😃 🙄
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If you would make intersection with curve, then it will give you surelly measured point. As Kyle mentioned, he believes intersection with circle would give you point from calculated feature instead of measured points.
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I guess something like that is what Kyle suggested above:

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Because if the 14° point is in a gap there's simply nothing there to be measured, so all you can do is to calculate an average of the adjacent points, either by intersecting with an interpolated curve (which is probably the best way) or by doing your own calculations on some extracted points from the left and right of the gap.
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I don't see a reason for that measurement since circularity can give you info too. But we don't see dimensions nor needed precision.
But for that intersection measurement is crucial where is determined center.
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