Question: 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:

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

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

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

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

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

o A constructor that creates a regular polygon with the specified number

of sides and length of side, centered at ( 0 , 0 ).

o A constructor that creates a regular polygon with the specified number

of sides, length of side, and x- and y-coordinates.

o The accessor and mutator methods for all data fields.o The method getPerimeter() that returns the perimeter of the polygon.

o The method getArea() that returns the area of the polygon. The formula for computing the area of a regular polygon is

Area=(n*side^2)/[4*tan (Pi/n)].

Draw the UML diagram for the class 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.

package Ch9; /** * ********************** RegularPolygon ********************** * * -n: int * -side: double * -x: double * -y: double * * __________________________________ * * +RegularPolygon() * +RegularPolygon(int: n, double side) * +RegularPolygon(int: n, double: side, int: x, int: y) * +getN(): int * +setN(int: n) * +getSide(): double * +setSide(double: side) * +getX(): double * +setX(double: x) * +getY(): double * +setY(double: y) * getPerimeter(): double * getArea(): double * * ************************************************************* * * Created by aarushi on 23/6/21. */ public class Ex09RegularPolygon { private int n; //number of sides of polygon private double side; //side length of polygon private double x; //x-coordinate of center of polygon private double y; //y-coordinate of center of polygon /*A no-arg constructor that creates a regular polygon with default values*/ public Ex09RegularPolygon(){ n=3; side=1; x=0; y=0; } /*A constructor that creates a regular polygon with the specified number of sides and length of side, centered at ( 0 , 0 ).*/ public Ex09RegularPolygon(int n, double side){ this.n=n; this.side= side; x=0; y=0; } /*A constructor that creates a regular polygon with the specified number of sides, length of side, and x- and y-coordinates.*/ public Ex09RegularPolygon(int n, double side, double x, double y){ this.n=n; this.side=side; this.x=x; this.y=y; } /*The accessor and mutator methods for all data fields.*/ public int getN(){ return n; } public void setN(int n){ this.n=n; } public double getSide(){ return side; } public void setSide(double side){ this.side=side; } public double getX() { return x; } public void setX(double x) { this.x = x; } public double getY() { return y; } public void setY(double y) { this.y = y; } /*The method getPerimeter() that returns the perimeter of the polygon*/ public double getPerimeter(){ return n*side; } /*The method getArea() that returns the area of the polygon. The formula for computing the area of a regular polygon*/ public double getArea(){ return (n*Math.pow(side, 2))/(4*Math.tan(Math.PI/n)); } }

package Ch9; /** * Q: 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: o A private int data field named n that defines the number of sides in the polygon with default value 3 . o A private double data field named side that stores the length of the side with default value 1 . o A private double data field named x that defines the x-coordinate of the polygon's center with default value 0 . o A private double data field named y that defines the y-coordinate of the polygon's center with default value 0 . o A no-arg constructor that creates a regular polygon with default values. o A constructor that creates a regular polygon with the specified number of sides and length of side, centered at ( 0 , 0 ). o A constructor that creates a regular polygon with the specified number of sides, length of side, and x- and y-coordinates. o The accessor and mutator methods for all data fields.o The method getPerimeter() that returns the perimeter of the polygon. o The method getArea() that returns the area of the polygon. The formula for computing the area of a regular polygon is Area=(n*side^2)/[4*tan (Pi/n)]. Draw the UML diagram for the class 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. * Created by aarushi on 23/6/21. */ public class Ex09RegularPolygonTest { public static void main(String[] args){ Ex09RegularPolygon polygon1= new Ex09RegularPolygon(); Ex09RegularPolygon polygon2= new Ex09RegularPolygon(6,4); Ex09RegularPolygon polygon3= new Ex09RegularPolygon(10, 4, 5.6, 7.8); System.out.printf("Perimeter of polygon 1: %.3f", polygon1.getPerimeter()); System.out.printf("\nArea of polygon 1: %.3f", polygon1.getArea()); System.out.printf("\nPerimeter of polygon 2: %.3f", polygon2.getPerimeter()); System.out.printf("\nArea of polygon 2: %.3f", polygon2.getArea()); System.out.printf("\nPerimeter of polygon 3: %.3f", polygon3.getPerimeter()); System.out.printf("\nArea of polygon 3: %.3f", polygon3.getArea()); } } /* Output: Perimeter of polygon 1: 3.000 Area of polygon 1: 0.433 Perimeter of polygon 2: 24.000 Area of polygon 2: 41.569 Perimeter of polygon 3: 40.000 Area of polygon 3: 123.107 */