Check my arithmetic.
D = diameter.
C = Circumference.
pi = 3.14159 ……..
D = 8 ft
C = pi X 8 ft = 25.13274
Width of finished 2X8 = 7.25 in
Number of boards = (25.1324 X 12) / 7.25
= 41.6
~ 42 boards
Sum of interior angles (regular polygon) = (180(n-2) = 180(42-2) = 180(40) = 7200 degrees.
Interior angle = 7200/42 = 171.428….
Cut angle is 1/2 of that = 85.714 ~ 86 degrees.
I think, that is correct.
Let us know how it works out.