Struct CircleGeometryUtilities

float[] circleRadiusAdjustmentFactors = new float[] { 1.56f, 1.25f, 1.15f, 1.1f, 1.07f, 1.05f, 1.04f, 1.03f, 1.03f, 1.02f, 1.02f, 1.02f, 1.01f, 1.01f, 1.01f, 1.01f, 1.01f, 1.01f, 1.01f, 1.01f, }

Cached values for CircleRadiusAdjustmentFactor.

We can calculate the area of a polygonized circle, and equate that with the area of a unit circle x * cos(math.PI / steps) * sin(math.PI/steps) * steps = pi
Solving for the factor that makes them equal (x) gives the expression below.

Generated using the python code: [math.sqrt(2 * math.pi / (i * math.sin(2 * math.pi / i))) for i in range(3, 23)]


It would be nice to generate this using a static constructor, but that is not supported by Unity's burst compiler.