what is the conversion factor for degrees to radians
Radian As stated, one radian is equal to 180/π degrees. Thus, to convert from radians to degrees, multiply by 180/π.
Vertex angle A vertex angle in a polygon is often measured on the interior side of the vertex. For any simple n-gon, the sum of the interior angles is π(n − 2) radians or 180(n − 2) degrees.[1]