Octagon Table

While visiting family in West Virginia, I came across this table at their river lot. I'm wondering the angle at which the wood was cut. 

I can see this as being a good problem for getting into polygons and how they're built from triangles, and I like the link to carpentry. 

I can see having the students build their own table top with a varying number of sides, and figuring out what angle to cut the wood cross sections.

I'm thinking that this would fall under common core standard G-MG-A.1 or G-SRT-B.5. What do you think, and what would do with this problem?