find the area of a regular polygon circumscribed around a circle in csharp

To find the area of a regular polygon circumscribed around a circle, we can use the formula:

Area = (perimeter * apothem) / 2

where perimeter is the perimeter of the polygon (i.e. the sum of the length of all sides), and apothem is the distance from the center of the polygon to the midpoint of a side.

Here's how we can implement this formula in C#:

main.cs
using System;

class Program {
    static void Main(string[] args) {
        int n = 6; // number of sides of the polygon
        double r = 5.0; // radius of the circle

        double perimeter = 2 * n * r * Math.Sin(Math.PI / n);
        double apothem = r * Math.Cos(Math.PI / n);
        double area = (perimeter * apothem) / 2;

        Console.WriteLine($"Area of the {n}-sided polygon: {area}");
    }
}
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In this example, we're assuming a regular hexagon with a radius of 5 units. The formula can be easily adapted for polygons with a different number of sides and/or radii.