*10.11   (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 getter methods.

■     A data field radius with a getter 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 10.21a).

■     A method contains(Circle2D circle) that returns true if the speci- fied circle is inside this circle (see Figure 10.21b).

■     A method overlaps(Circle2D circle) that returns true if the speci- fied circle overlaps with this circle (see Figure 10.21c).

 

 

                                

(a)                                               (b)                                     (c)

 

FIGURE 10.21 (a) A point is inside the circle. (b) A circle is inside another circle. (c) A circle overlaps another circle.

 

 

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)).