Chapter 13, Problem 13.11PE

(The Octagon class) Write a class named Octagon that extends GeometricObject and implements the Comparable and Cloneable interfaces. Assume all eight sides of the octagon are of equal length. The area can be computed using the following formula:

     $area=\left(2+4/\sqrt{2}\right)\ast side\ast side$

The Octagon class has a private double data field named side with its getter and setter methods. The class has a no-arg constructor that creates an Octagon with side 0, and a constructor to create an Octagon with a specified side.

Draw the UML diagram that involves Octagon, GeometricObject, Comparable, and Cloneable. Write a test program that creates an Octagon object with side value 5 and displays its area and perimeter. Create a new object using the clone method, and compare the two objects using the compareTo method.