find the volume of a regular polygon inscribed in a sphere in csharp

To find the volume of a regular polygon inscribed in a sphere, we need to know the length of the edges of the polygon and the radius of the sphere. Let's say the length of each edge of the polygon is a and the radius of the sphere is r.

The formula for the volume of a regular polygon inscribed in a sphere is given by:

main.cs
volume = (1/3) * n * a^2 * r
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where n is the number of edges of the polygon.

Here's the C# code to implement the formula:

main.cs
public double FindVolumeOfRegularPolygonInSphere(int numberOfEdges, double edgeLength, double sphereRadius)
{
    double volume = (1.0 / 3.0) * numberOfEdges * Math.Pow(edgeLength, 2) * sphereRadius;
    return volume;
}
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To use this method, you would call it with the number of edges, edge length and sphere radius as arguments, like so:

main.cs
double volume = FindVolumeOfRegularPolygonInSphere(6, 10, 5);
Console.WriteLine("Volume of polygon inscribed in sphere: " + volume);
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This would output the volume of the polygon inscribed in the sphere with 6 edges, each of length 10, and a radius of 5.

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