find the volume of a regular polygon circumscribed around a sphere in swift

To find the volume of a regular polygon circumscribed around a sphere, you can use the following formula:

V = (4/3) * pi * R^3 * n * sin(pi/n)

where:

V is the volume of the regular polygon circumscribed around the sphere.
R is the radius of the sphere.
n is the number of sides of the regular polygon.

Here's the Swift code that implements this formula:


main.swift
func volumeOfPolygonCircumscribedAroundSphere(radius: Double, n: Int) -> Double {
    let pi = Double.pi
    let sinValue = sin(pi/Double(n))
    let volume = (4/3) * pi * pow(radius, 3) * Double(n) * sinValue
    return volume
}
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You can use this function as follows:


main.swift
let radius = 5.0
let n = 6 // for a regular hexagon
let volume = volumeOfPolygonCircumscribedAroundSphere(radius: radius, n: n)

print("Volume of polygon circumscribed around sphere with radius \(radius) and \(n) sides: \(volume)")
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