Large Scale Central

How to cut wood for curves

Howdy
I’ve pretty much decided to cut PT boards for under my curves, to keep them in alignment. Now I know that I have to cut them as a trapezium (one side longer than the other, ends angles equal), but Im not sure of the math involved to figure this out.

Without a lot of trial and error, who knows how to figure out what to measure for a curve? i.e. if I have a 12’ diameter curve, and my curve boards are a foot long, whats the angle at the end of each piece?

Geometry was a long time ago.