(Solved): Java code using eclipse (n-sided regular polygon) In an n-sided regular polygon, all sides have t ...

Java code using eclipse

(n-sided regular polygon) In an $$n$$-sided regular polygon, all sides have the same length and all angles have the same degree. Design a class named Polygon that contains: - An integer data field named $$\mathbf{n}$$ that defines the number of sides in the polygon with default value 3 . - A double data field named $$s$$ that stores the length of the side with default value 1 . - A double data field named $$x$$ that defines the $$x$$-coordinate of the polygon's center with default value 0. - A 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, length of side, and $$x$$ - and $$y$$-coordinates. - The method getPerimeter 0 that returns the perimeter of the polygon. The formula for computing the perimeter of a regular polygon is: Perimeter $$=n\times S$$ - The method getArea0 that returns the area of the polygon. The formula for computing the area of a regular polygon is: $$\text{ Area }=\frac{n\times s^2}{4\times \tan \left(\frac{?}{n}\right)}$$ Write a test program that creates three Polygon objects (polygon 1, polygon2, and polygon3), created using the no-arg constructor, using Polygon $$(6,4,0,0)$$, and using Polygon(10, 4, 5.6,7.8) respectively. For each object, display its perimeter and area. Hint: Deploy (Math.tan) method for the value of $$(\tan )$$. Deploy (Math.PI) method for the value of $$(?)$$. 6-sided regular polygon