Any geometry geniuses up in here? Help solve my riddle please?

ruouttaurmind thought this was worth mentioning said
4

I think I might have been napping when I covered geometry in high school. I basically have zero skillz. Any maths genius, please help!

Goal: Make a tube out of wood.

The tube needs to have a 21.5" inside diameter, 24" ouside diameter, and 1.5" height.

I will do this by making a polygon from bits of 2x4 lumber (1.5" x 3.5" actual) then using a router, round the inside and outside radius into the circular tube.

Challenge: Find the absolute minimum number of sides required to meet my dimensional requirement. Pent? Hex? Hep? Also, I need to know how long to cut my 2x4 bits, and at what angle.

I think this is probably easy for someone who remembers the formulas from high school geometry. That someone surely isn’t me!