(Geometry: n-sided regular polygon) An n-sided regular polygon has n sides of the same len...

(Geometry: n-sided regular polygon) An n-sided regular polygon has n sides of the same length, and all its angles have the same degree (i.e., the polygon is both equilateral and equiangular). Design a class named RegularPolygon that contains the following:

■ A private int data field named n that defines the number of sides in the polygon.

■ A private double data field named side that stores the length of the side.

■ A private double data field named x that defines the x-coordinate of the center of the polygon.

■ A private double data field named y that defines the y-coordinate of the center of the polygon.

■ A no-arg constructor that creates a regular polygon with n 3 , side 1 , x 0 , and y 0.

■ A constructor that creates a regular polygon with the specified number of sides and length of side, and centered at (0 , 0).

■ A constructor that creates a regular polygon with the specified number of sides, length of side, and x- and y-coordinates.

■ The constant accessor functions and mutator functions for all data fields.

■ The constant function getPerimeter() that returns the perimeter of the polygon.

■ The constant function getArea() that returns the area of the polygon. The formula for computing the area of a regular polygon is

Draw the UML diagram for the class. Implement the class. Write a test program that creates three RegularPolygon objects, using the no-arg constructor, using RegularPolygon(6, 4) , and using RegularPolygon(10 , 4 , 5.6 , 7.8). For each object, display its perimeter and area.