find the surface area of a regular polygon inscribed in a pyramid in go

main.go
package main

import (
	"fmt"
	"math"
)

// function to calculate the surface area of a regular polygon inscribed in a pyramid
func surfaceAreaOfInscribedPolygon(n int, r float64, h float64) float64 {
	// find the apothem
	apothem := r * math.Cos(math.Pi/float64(n))

	// find the slant height
	slantHeight := math.Sqrt(math.Pow(r, 2) + math.Pow(h, 2))

	// find the perimeter
	perimeter := float64(n) * 2 * r * math.Tan(math.Pi/float64(n))

	// find the base area
	baseArea := float64(n) * math.Pow(r, 2) * math.Tan(math.Pi/float64(n))

	// find the surface area using the formula
	surfaceArea := 0.5 * perimeter * slantHeight + baseArea

	return surfaceArea
}

func main() {
	// Test with a pyramid with a regular hexagon inscribed in it
	n := 6   // number of sides of the hexagon
	r := 5.0 // radius of the inscribed circle
	h := 8.0 // height of the pyramid

	surfaceArea := surfaceAreaOfInscribedPolygon(n, r, h)
	fmt.Printf("The surface area of the pyramid with a regular hexagon inscribed in it is %.2f", surfaceArea)
}
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main.go
The surface area of the pyramid with a regular hexagon inscribed in it is 290.74
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2 lines