Θ = tan-1 2h
d
Where:
Θ = Angle of repose.
h = Height of the particles pile.
d = Distance from the center of the pile to the edge.
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The half angle formula is: sin theta/2 = ± sqrt (1 - cos theta/2)
360/# of sides
An angle does not have a diameter. The arms of an 82 degree angle can be as long as you like - infinite, even.
Obtuse angle (here is the formula) -: 90° = Right angle and if you don't know the obtuse angle is more than 90° so adding 2 will make it an obtuse angle.
360X^-1 then go to your table of values and you will be able to see all the angle measures for every side