I want to put this object to sleep and the rotation will not start unless the player approaches it with a certain distance,I want to do sleep and wake up

using System.Collections;
using System.Collections.Generic;
using UnityEngine;

public class rotation : MonoBehaviour
{
public float rotationSpeed = 100f;
// Start is called before the first frame update
void Start()
{

}

// Update is called once per frame
void Update()
{
  gameObject.transform.RotateAround(new Vector3(0,0,1f),rotationSpeed*Time.deltaTime*0.2f); 
}

}
,I want to put this object to sleep and the rotation will not start unless the player approaches it with a certain distance

using System.Collections;
using System.Collections.Generic;
using UnityEngine;

public class rotation : MonoBehaviour
{
public float rotationSpeed = 100f;
// Start is called before the first frame update
void Start()
{

}

// Update is called once per frame
void Update()
{
  gameObject.transform.RotateAround(new Vector3(0,0,1f),rotationSpeed*Time.deltaTime*0.2f); 
}

}

Try not to make your question complex, so basically you want a certain object to rotate when the player object gets close to it. There’s a lot of ways you could make that, verifying if the player (wich has the tag or layer “player”, if not you should make it) is inside a collider area, or maybe make a overlapping sphere to check it.

        // Player detection.
        Collider[] player = Physics.OverlapSphere(detectionArea.position, detectionRange, playerLayer);
        if (player.Length > 0) {
            // Player is inside area.
            // Rotate object.
        } else {
            // Player is far.
        }

detectionArea’ is a transform object, detectionRange is a float and playerLayer is the layer the player is. To verify the area on the editor you can make a gizmo.

        if (detectionArea != null) {
            Gizmos.color = Color.green;
            Gizmos.DrawWireSphere(detectionArea.position, detectionRange);
        }