Fixing cuboid body centers to circle line

How do I constrain center of a cuboid object to a circle so that the object only moves around the circle? Here’s an example:

Here the sketched line is a circle. I want to constrain center of the one of the surfaces of the cuboid body to the circle. Is this possible?

Example missing.

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Sorry for that. It was my first post which I accidentally submitted before finishing typing, and Discourse doesn’t let you edit your post while it’s waiting for approval. I’ve updated my question now.

Simply move the little dot thingy (Origin) of the cuboid, to the center of your circle and it will rotate around the origin you relocated to the center of the circle.

That did it, thanks!

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