Completed Applet

The only tricky thing is to get the details right for selecting the random integers you want.

// assume that the drawing area is 400 by 400
public class thousandCircles extends JApplet
{
  Circle circ = new Circle();
  Random rand = new Random();
  
  public void paint ( Graphics gr )
  { 

    circ.setRadius( 5 );
    circ.setColor( Color.red );
    int count = 1;
    while ( count <= 1000 )
    {

      int x = Math.abs( rand.nextInt() )% 400;
      int y = Math.abs( rand.nextInt() )% 400;

      circ.setPosition( x, y );
      circ.draw( gr );

      count = count + 1;
    }
  }
}

Here is what the applet draws: