A polygon is a closed figure with three or more sides. A regular polygon has sides that are all equal. Imagine that you have a circle of radius r, and you draw a regular polygon within the circle so...

A polygon is a closed figure with three or more sides. A regular polygon has sides that are all equal. Imagine that you have a circle of radius r, and you draw a regular polygon within the circle so that the polygon’s corners just touch the circumference of the circle. For example, you might draw

If the polygon has n sides, you can use the following expression to compute the sum of its sides—that is, its perimeter:

Because the angle, 360 / n, in the previous expression is given in degrees, and the method Math.cos requires radians, you must convert from degrees to radians by using the formula

radians = degrees x π / 180

Design and implement a class of regular polygons. An object of this class should be able to report its number of sides and its perimeter. Demonstrate your class by writing a suitable program.