How big would a "Ring World" have to be to orbit a black hole?

In many Science Fiction books and games, there are worlds or planet-like objects that are rings that orbit (or float around in space) (some examples being the Halo (from Halo) or the Ringworld (from the book called Ringworld by Larry Niven).

After reading through a lot of the Ringworld book, it got me wondering. What would the size of a ring have to be to orbit a black hole, staying structurally stable. The size of the black hole would be stable (not growing) and being the size of an intermediate-mass black hole.

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How big would a "Ring World" have to be to orbit a black hole?

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