You are given the length of the diagonal of a hexagon, d. Your task is to find the area of that hexagon.
Examples:
Input : 5 Output : Area of Hexagon: 16.238 Input : 10 Output : Area of Hexagon: 64.9519
Hexagon
Hexagon is a regular polygon having six equal sides and all equal angles. The interior angles of Hexagon are of 120 degrees each and the sum of all angles of a Hexagon is 720 degrees.
Let d be the diagonal of Hexagon, then the formula to find the area of Hexagon given by
Area =
How does above formula work?
We know that area of hexagon with side length a = (3 √3(a)2 ) / 2. Since all sides are of same size and angle is 120 degree, d = 2a or a = d/2. After putting this value, we get area as (3 √3(d)2 ) / 8.
Below is the implementation .
C++
// C++ program to find the area of Hexagon with given diagonal #include <bits/stdc++.h> using namespace std;
// Function to calculate area float hexagonArea( float d)
{ // Formula to find area
return (3 * sqrt (3) * pow (d, 2)) / 8;
} // Main int main()
{ float d = 10;
cout << "Area of hexagon: " << hexagonArea(d);
return 0;
} |
Java
// Java program to find the area of // Hexagon with given diagonal import java.lang.Math;
public class GfG {
// Function to calculate area
public static float hexagonArea( float d)
{
// Formula to find area
return ( float )(( 3 * Math.sqrt( 3 ) * d * d) / 8 );
}
public static void main(String []args) {
float d = 10 ;
System.out.println( "Area of hexagon: " + hexagonArea(d));
}
} // This code is contributed by Rituraj Jain |
Python3
# Python3 program to find the area # of Hexagon with given diagonal from math import sqrt
# Function to calculate area def hexagonArea(d) :
# Formula to find area
return ( 3 * sqrt( 3 ) * pow (d, 2 )) / 8
# Driver code if __name__ = = "__main__" :
d = 10
print ( "Area of hexagon:" ,
round (hexagonArea(d), 3 ))
# This code is contributed by Ryuga |
C#
// C# program to find the area of // Hexagon with given diagonal using System;
public class GFG{
// Function to calculate area
public static float hexagonArea( float d)
{
// Formula to find area
return ( float )((3 * Math.Sqrt(3) * d * d) / 8);
}
//Code driven static public void Main (){
float d = 10;
Console.WriteLine( "Area of hexagon: " + hexagonArea(d));
}
//This code is contributed by Tushil. } |
PHP
<?php // PHP program to find the area of // Hexagon with given diagonal // Function to calculate area function hexagonArea( $d )
{ // Formula to find area
return (3 * sqrt(3) * pow( $d , 2)) / 8;
} // Driver Code $d = 10;
echo "Area of hexagon: " ,
hexagonArea( $d );
// This code is contributed by ajit. ?> |
Javascript
<script> // JavaScript program to find // the area of Hexagon with given diagonal // Function to calculate area function hexagonArea( d)
{ // Formula to find area
return (3 * Math.sqrt(3) * Math.pow(d, 2)) / 8;
} // Driver Code let d = 10;
document.write( "Area of hexagon: " + hexagonArea(d).toFixed(3));
// This code is contributed by todaysgaurav </script> |
Output:
Area of Hexagon: 64.952
Time Complexity: O(1)
Auxiliary Space: O(1), since no extra space has been taken.