Area of a Hexagon

A hexagon is a 6-sided, 2-dimensional geometric figure. The total of the internal angles of any hexagon is 720°. A regular hexagon has 6 rotational symmetries and 6 reflection symmetries. All internal angles are 120 degrees. 

Examples :

Input: 4
Output: 41.5692

Input: 6
Output: 93.5307

Number of vertices: 6 
Number of edges: 6 
Internal angle: 120° 
Area = (3 √3(n)² ) / 2

How does the formula work? There are mainly 6 equilateral triangles of side n and area of an equilateral triangle is (sqrt(3)/4) * n * n. Since in hexagon, there are total 6 equilateral triangles with side n, area of the hexagon becomes (3*sqrt(3)/2) * n * n

C++

// CPP program to find
// area of a Hexagon
#include <iostream>
#include <math.h>
using namespace std;

// function for calculating
// area of the hexagon.
double hexagonArea(double s)
{
    return ((3 * sqrt(3) *
            (s * s)) / 2);
}

// Driver Code
int main()
{
    // Length of a side
    double s = 4;
    cout << "Area : "
         << hexagonArea(s);
    return 0;
}

Java

import java.io.*;
public class GFG
{
    // Create a function for calculating
    // the area of the hexagon.
    public static double hexagonArea(double s)
    {
        return ((3 * Math.sqrt(3) *
                (s * s)) / 2);
    }

    // Driver Code
    public static void main(String[] args)
    {
        // Length of a side
        double s = 4;
        System.out.print("Area: " +
                          hexagonArea(s) );
    }
}

Python3

# Python3 program to find
# area of a Hexagon
import math

# Function for calculating
# area of the hexagon.
def hexagonArea(s):

    return ((3 * math.sqrt(3) *
            (s * s)) / 2);

# Driver code
if __name__ == "__main__" :

    # length of a side.
    s = 4

    print("Area:","{0:.4f}" .
           format(hexagonArea(s)))

# This code is contributed by Naman_Garg

C#

// C# program to find
// area of a Hexagon
using System;

class GFG
{

    // Create a function for calculating
    // the area of the hexagon.
    public static double hexagonArea(double s)
    {
        return ((3 * Math.Sqrt(3) *
                (s * s)) / 2);
    }

    // Driver Code
    public static void Main()
    {
        // Length of a side
        double s = 4;

        Console.WriteLine("Area: " +
                           hexagonArea(s) );
    }
}

// This code is contributed by vt_m.

PHP

<?php
// PHP program to find
// area of a Hexagon

// function for calculating
// area of the hexagon.
function hexagonArea( $s)
{
    return ((3 * sqrt(3) *
            ($s * $s)) / 2);
}

// Driver Code

// Length of a side
$s = 4;
echo("Area : ");
echo(hexagonArea($s));

// This code is contributed by vt_m.
?>

Javascript

<script>

// Javascript program to find
// area of a Hexagon

// function for calculating
// area of the hexagon.
function hexagonArea(s)
{
    return ((3 * Math.sqrt(3) *
            (s * s)) / 2);
}

// Driver Code

    // Length of a side
    let s = 4;
    document.write("Area : "
        + hexagonArea(s));

// This code is contributed by Mayank Tyagi
</script>

Output :

Area: 41.5692

Time Complexity: O(1) 
Auxiliary Space: O(1), since no extra space has been taken.