(Geometry: n-sided regular polygon) In an n-sided regular polygon, all sides have the sa...

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

• A private int data field named n that defines the number of sides in the polygon with default value 3.

• A private double data field named side that stores the length of the side with default value 1.

• A private double data field named x that defines the x-coordinate of the polygon’s center with default value 0.

• A private double data field named y that defines the y-coordinate of the polygon’s center with default value 0.

• A no-arg constructor that creates a regular polygon with default values.

• A constructor that creates a regular polygon with the specified number of sides and length of side, 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 accessor and mutator methods for all data fields.

• The method getPerimeter() that returns the perimeter of the polygon.

• The method 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 and then implement the class. Write a test program that creates three RegularPolygon objects, created 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.