language java

An n sided regular polygon's sides all have the same length and all of its angles have the same degrees $($i$.$e$.$ the polygon is both equilateral and equiangular$).$ Design a class named RegularPolygon that contains:

$(1)$ A private int data field named n that defines the number of sides in the polygon

$(2)$ A private double data field named side that stores the length of the side

$(3)$ A private double data field named x that defines the x coordinate of the center of the polygon with default value $0$

$(4)$ A private double data field named y that defines the y coordinate of the center of the polygon with default value $0$

$(5)$ A constructor that creates a regular polygon with the specified n $($default $3),$ side $($default $1),$ x $($ default $0),$ and y $($default $0)$

$(6)$ The accessor and mutator methods for all data fields

$(7)$ the method getPerimeter$()$ that returns the perimeter of the polygon

$(8)$ 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$))$

Implement the class. Write a test program that creates $3$ RegularPolygon objects, created using RegularPolygon$(),$ using RegularPolygon$(6,4),$ and RegularPolygon$(10,4,5\mathrm{.}6,7\mathrm{.}8).$ For each object display its perimeter and area.