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

To find the volume of a regular polygon inscribed in a sphere in go, follow these steps:

1. Define the number of sides of the polygon and the radius of the sphere.
2. Calculate the side length a of the regular polygon using the formula a = 2 * R * sin(pi/n), where R is the radius of the sphere and n is the number of sides of the polygon.
3. Calculate the apothem h of the polygon using the formula h = R * cos(pi/n).
4. Calculate the area A of the regular polygon using the formula A = (n * a * h) / 2.
5. Calculate the volume V of the sphere using the formula V = (4/3) * pi * R^3.

Here's the implementation of the above steps in go:

main.go
package main

import (
    "fmt"
    "math"
)

func main() {
    n := 6      // number of sides
    R := 10.0   // radius of sphere
    
    a := 2 * R * math.Sin(math.Pi/float64(n))
    h := R * math.Cos(math.Pi/float64(n))
    
    A := (float64(n) * a * h) / 2
    V := (4/3) * math.Pi * math.Pow(R, 3)
    
    fmt.Printf("Area of the regular polygon: %f\n", A)
    fmt.Printf("Volume of the sphere: %f\n", V)
}
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You can tweak the values of n and R to calculate the volume of regular polygons with different number of sides and radii.