Wood – Building a Circular Platform using 12″ wide boards

woodworking

I need to make a 7.5' circle 12 inches wide (OD 7.5', ID 6.5').
Since there is no lumber sold in 8'x8' pieces, and I don't have room to set up 2 4x8s side by side, I thought another approach might be to buy 12" wide boards and cut them in trapezoidal shapes of a certain length, and join them side to side to form a Dodecagon that is 12" wide.

I'm unsure of what angle to use for the sides of each of the 12 pieces, as well as how long each one should be on the long side and the short side.

Can anyone help?

Best Answer

Here is a diagram of what you need. Cut each piece exactly the same with a 75 degree angle on the ends. If they are all the same it will go together alright even if you do not make the outside length of each piece be 23.2937.

If you use planed 1x12 pine boards they will be more like 11.25 inches wide.

Dimensions are in inches.

enter image description here