Turning a full cut shape into a double lined outline in illustrator

Hey guys, I have done this before. But I can not for the life of me remember how I normally do it. Can’t find it in my notes, either. Okay so say I have a Circle. And it will cut as a whole circle piece of wood. But I want it to cut as an outline of the circle on the inside of the circle. So I have this wooden circle (brown)

and then I want to cut this ring out to place on top of it

Photos? or additional info?

Sorry guys!! This was a draft! And I went to delete it and did the splits on my stairs! I will try to delete now!

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