Calculate a random point on a circle edge in Unity3D

Would you like to calculate a random point on a circle edge 3D space like a planet orbit around the sun? This artice shows how to calculate a random point in a circle, put it on the circle edge and convert it from 2D to 3D.

The Random class in Unity3D provides the method insideUnitCircle that returns a random Vector2 inside a circle with radius = 1. By calling normalized, the Vector length (or magnitude) will be increased to 1. That effectively puts the random point on the edge of the circle.

The RandomPointOnCircleEdge function returns the random point as a Vector3 where y=0.

private Vector3 RandomPointOnCircleEdge(float radius)
{
    var vector2 = Random.insideUnitCircle.normalized * radius;
    return new Vector3(vector2.x, 0, vector2.y);
}