Trying to get a player GameObject to rotate around a center point and need some help.

Unity Engine
1

I am trying to get a player GameObject to rotate in a circle around a center point or even an empty GameObject. I would like for this GameObject to also continue looking toward the center. I am having trouble doing so. Here is my code. I am playing around in a 2D space. Thanks.

using UnityEngine;
using System.Collections;

public class PlayerScript : MonoBehaviour {

	GameObject center = GameObject.Find("Center");
	Vector2 center1 = new Vector2 (0, 0);

	//Player Speed

	public Vector2 speed = new Vector2(50,50);

	private Vector2 circleMovement;

	// Use this for initialization
	void Start () {

	
	}
	
	// Update is called once per frame
	void Update () {
		transform.LookAt(center1);
		transform.Translate(Vector2.right * Time.deltaTime);
	}

	void FixedUpdate() {

		}
}
2

Have you taken a look at RotateAround?