Will "this" work for a JPanel that is extended??

Hello,
I am writing a small program in Java, and it is an interface which I would like to center on the page. I know that to have a GUI open in the middle of the screen it is setLocationRelativeTo(null);, but I am under the impression that this has to be preceded by an object, like obj.setLocationRelativeTo(null);.
Herein lies my question, if I have extended JPanel with my class, can I use this.setLocationRelativeTo();?? I am under the impression that this ia where the ":this" keyword would be used, but am not sure to be honest....
This is my code so far:

import javax.swing.*;
import java.awt.*;
import java.awt.event.*;
import java.awt.geom.*;

public class fileTwo extends JPanel {
public void paint.Component(Graphics g) {
Graphics2D g2 = (Graphics2D) g;
Ellipse2D pie = new Ellipse2D.Double(240, 160, 48,48);
g2.setPaint(Color.YELLOW);
g2.fill(pie);

I am tempted to place the line this.setLocationRelativeTo(null);
as the next line, but I am not sure that I will not get yelled at by the compiler for that.
I want the panel to open in the middle of the screen??
My second thought is that I should just write setLocationRelativeTo(); with nothing else, but that just doesn't feel right either.
Please advise!!