(Geometry: The Circle2D class) Define the Circle2D class that contains: ¦ Two double da...

(Geometry: The Circle2D class) Define the Circle2D class that contains:

¦ Two double data fields named x and y that specify the center of the circle with get methods.

¦ A data field radius with a get method.

¦ A no-arg constructor that creates a default circle with (0, 0) for (x, y) and 1 for radius.

¦ A constructor that creates a circle with the specified x, y, and radius.

¦ A method getArea() that returns the area of the circle.

¦ A method getPerimeter() that returns the perimeter of the circle.

¦ A method contains(double x, double y) that returns true if the specified point (x, y) is inside this circle (see Figure 10.15a).

¦ A method contains(Circle2D circle) that returns true if the specified circle is inside this circle (see Figure 10.15b).

¦ A method overlaps(Circle2D circle) that returns true if the specified circle overlaps with this circle (see Figure 10.15c).

Draw the UML diagram for the class and then implement the class. Write a test program that creates a Circle2D object c1 (new Circle2D(2, 2, 5.5)), displays its area and perimeter, and displays the result of c1.contains(3, 3), c1.contains(new Circle2D(4, 5, 10.5)), and c1.overlaps(new Circle2D(3, 5, 2.3)).