Programa para hallar el Area del Pentágono

Dado el lado de un Pentágono, la tarea es encontrar el área del Pentágono.
Ejemplos: 
 

Input : a = 5
Output: Area of Pentagon: 43.0119

Input : a = 10
Output: Area of Pentagon: 172.047745

Un pentágono regular es una forma geométrica de cinco lados cuyos lados y ángulos son iguales. Sus ángulos interiores miden 108 grados cada uno y sus ángulos exteriores miden 72 grados cada uno. La suma de los ángulos interiores de un pentágono es 540 grados. 
 

Sea a el lado del Pentágono, luego la fórmula para encontrar el área del Pentágono dada por
Área = 
 

// C++ program to find the area of Pentagon
#include<bits/stdc++.h>
using namespace std;
 
// Function to find area of pentagon
float findArea(float a)
{
    float area;
   
    // Formula to find area
    area = (sqrt(5 * (5 + 2 * (sqrt(5)))) * a * a) / 4;
   
    return area;
}
 
// Driver code
int main()
{
    float a = 5;
     
    // function calling
    cout << "Area of Pentagon: " << findArea(a);
     
    return 0;
}

// Java program to find the area of Pentagon
import java.io.*;
 
class GFG {
     
    // Function to find area of pentagon
    static float findArea(float a)
    {
        float area;
       
        // Formula to find area
        area = (float)(Math.sqrt(5 * (5 + 2
                * (Math.sqrt(5)))) * a * a) / 4;
       
        return area;
    }
     
    // Driver code
    public static void main (String[] args)
    {
        float a = 5;
         
        System.out.println("Area of Pentagon: "
                               + findArea(a));
    }
}

# Python3 program to find
# the area of Pentagon
 
# Import Math module
# to use sqrt function
from math import sqrt
 
# Function to find
# area of pentagon
 
def findArea(a):
     
    # Formula to find area
    area = (sqrt(5 * (5 + 2 *
           (sqrt(5)))) * a * a) / 4
    return area
     
 
# Driver code
a = 5
 
# call function findArea()
# to calculate area of pentagon
# and print the calculated area
print("Area of Pentagon: ",
               findArea(a))
  
# This code is contributed
# by ihritik

// C# program to find
// the area of Pentagon
using System;
 
class GFG
{
     
    // Function to find
    // area of pentagon
    static float findArea(float a)
    {
        float area;
     
        // Formula to find area
        area = (float)(Math.Sqrt(5 * (5 + 2 *
                      (Math.Sqrt(5)))) *
                             a * a) / 4;
     
        return area;
    }
     
    // Driver code
    public static void Main ()
    {
        float a = 5;
         
        Console.WriteLine("Area of Pentagon: "+
                                  findArea(a));
    }
}
 
// This code is contributed
// by anuj_67.

<?php
// PHP program to find
// the area of Pentagon
 
// Function to find
// area of pentagon
function findArea($a)
{
    $area;
 
    // Formula to find area
    $area = (sqrt(5 * (5 + 2 *
            (sqrt(5)))) * $a *
                      $a) / 4;
 
    return $area;
}
 
// Driver code
$a = 5;
 
// function calling
echo "Area of Pentagon: " ,
              findArea($a);
 
// This code is contributed
// by anuj_67.
?>

<script>
 
// Javascript program to find the area of Pentagon
 
// Function to find area of pentagon
function findArea(a)
{
    let area;
     
    // Formula to find area
    area = (Math.sqrt(5 * (5 + 2 * (Math.sqrt(5)))) * a * a) / 4;
    return area;
}
 
// Driver code
    let a = 5;
     
    // function calling
    document.write("Area of Pentagon: " + findArea(a));
     
// This code is contributed by Mayank Tyagi
</script>

Area of Pentagon: 43.0119

Complejidad del tiempo: O(1)

Espacio Auxiliar: O(1)