find the volume of a regular polygon circumscribed around a triangular prism in swift

To find the volume of a regular polygon circumscribed around a triangular prism in Swift, we first need to find the length of the side of the polygon.

We can do this using the following formula:

main.swift
s = 2 * a * tan(pi/n)
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Where s is the side length, a is the apothem (the distance from the center of the polygon to the midpoint of one of its sides), n is the number of sides, and pi is the constant pi.

We can then calculate the volume of the circumscribed polygon using the following formula:

main.swift
V = (n/12) * s^2 * h
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Where n is the number of sides, s is the side length, and h is the height of the triangular prism.

Here's the Swift code to calculate the volume of a regular polygon circumscribed around a triangular prism:

main.swift
let sides = 6 // number of sides
let apothem = 10.0 // apothem length
let height = 20.0 // height of triangular prism

let sideLength = 2 * apothem * tan(Double.pi/Double(sides))

let volume = (Double(sides)/12) * pow(sideLength, 2) * height

print("The volume of the circumscribed polygon is: \(volume)")
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In this example, we assume a regular polygon with 6 sides, an apothem of 10 units, and a height of 20 units. The output should be the volume of the circumscribed polygon.