Java

(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 polygons center with default value

0

.

- A private

double

data field named

y

that defines the y-coordinate of the polygons 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:

Area

= n * s^2 / (4 * tan(pi / n))

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.

Sample Run

Polygon 1 perimeter: 3.0

Polygon 1 area: 0.43301270189221946

Polygon 2 perimeter: 24.0

Polygon 2 area: 41.569219381653056

Polygon 3 perimeter: 40.0

Polygon 3 area: 123.10734148701015

Class Name:

Exercise09_09

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