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Find length of Diagonal of Hexagon

  • Last Updated : 18 Mar, 2021

Given a regular hexagon of side length a, the task is to find the length of it’s diagonal.
Examples
 

Input : a = 4
Output : 8

Input : a = 7
Output : 14

 

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From the diagram, it is clear that the triangle ABC is an equilateral triangle, so 
AB = AC = BC = a.
also it is obvious, diagonal = 2*AC or 2*BC 
So the length of diagonal of the hexagon = 2*a
Below is the implementation of the above approach: 
 

C++




// C++ Program to find the diagonal
// of the hexagon
#include <bits/stdc++.h>
using namespace std;
 
// Function to find the diagonal
// of the hexagon
float hexadiagonal(float a)
{
    // side cannot be negative
    if (a < 0)
        return -1;
 
    // diagonal of the hexagon
    return 2 * a;
}
 
// Driver code
int main()
{
    float a = 4;
 
    cout << hexadiagonal(a) << endl;
 
    return 0;
}

Java




// Java Program to find the diagonal
// of the hexagon
 
import java.io.*;
 
class GFG {
 
// Function to find the diagonal
// of the hexagon
static float hexadiagonal(float a)
{
    // side cannot be negative
    if (a < 0)
        return -1;
 
    // diagonal of the hexagon
    return 2 * a;
}
 
// Driver code
 
 
    public static void main (String[] args) {
            float a = 4;
 
    System.out.print( hexadiagonal(a));
}
}
 
// This code is contributed
// by shs

Python3




# Python3 Program to find the diagonal
# of the hexagon
 
# Function to find the diagonal
# of the hexagon
def hexadiagonal(a):
 
    # side cannot be negative
    if (a < 0):
        return -1
 
    # diagonal of the hexagon
    return 2 * a
 
 
# Driver code
if __name__=='__main__':
    a = 4
    print(hexadiagonal(a))
 
# This code is contributed by
# Shivi_Aggarwal

C#




// C# Program to find the diagonal
// of the hexagon
using System;
 
class GFG {
 
    // Function to find the diagonal
    // of the hexagon
    static float hexadiagonal(float a)
    {
        // side cannot be negative
        if (a < 0)
            return -1;
         
        // diagonal of the hexagon
        return 2 * a;
    }
 
// Driver code
public static void Main()
{
   float a = 4;
   Console.WriteLine( hexadiagonal(a));
}
}
 
// This code is contributed
// by anuj_67..

PHP




<?php
// PHP Program to find the diagonal
// of the hexagon
 
// Function to find the diagonal
// of the hexagon
function hexadiagonal($a)
{
    // side cannot be negative
    if ($a < 0)
        return -1;
 
    // diagonal of the hexagon
    return 2 * $a;
}
 
// Driver code
    $a = 4;
 
    echo hexadiagonal($a);
    // This code is contributed
// by anuj_67..
 
?>

Javascript




<script>
// javascript Program to find the diagonal
// of the hexagon
 
// Function to find the diagonal
// of the hexagon
function hexadiagonal(a)
{
 
    // side cannot be negative
    if (a < 0)
        return -1;
 
    // diagonal of the hexagon
    return 2 * a;
}
 
// Driver code
 
var a = 4;
document.write( hexadiagonal(a));
 
// This code is contributed by 29AjayKumar
</script>
Output: 
8

 




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