when moving a Game Object in a circle through it Transform Position, how can I control which arch of the circle to start moving on?

Questions & Answers
1

// Unity2D
// sort of like a rainbow arc motion starting from left to right and vice versa.

    private float rotateSpeed = 1.0f;
    private float radius = 9.0f;
    private Vector2 _centre;
    private float _angle;

    public void Start()
    {
      _centre = transform.position;

    }

    private void FixedUpdate()
    {
      TransportPlayer();
    }

    public void TransportPlayer()
    {

        if (true)
        {

            _centre = transform.position;

            _angle += rotateSpeed * Time.deltaTime;
            var offset = new Vector2(Mathf.Sin(_angle), Mathf.Cos(_angle)) * radius;
            transform.position = _centre + offset;

        }
        else
        {
            return;
        }
        
    }
2

This link answered my question, the logic is still there.
https://gamedev.stackexchange.com/questions/157642/moving-a-2d-object-along-circular-arc-between-two-points