# Area of hexagon with given diagonal length

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 âˆš3(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 âˆš3(d)2 ) / 8.
Below is the implementation .

## C++

 // C++ program to find the area of Hexagon with given diagonal #include  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

 

## Javascript

 

Output:

Area of Hexagon:  64.952

Time Complexity: O(1)

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

Feeling lost in the world of random DSA topics, wasting time without progress? It's time for a change! Join our DSA course, where we'll guide you on an exciting journey to master DSA efficiently and on schedule.
Ready to dive in? Explore our Free Demo Content and join our DSA course, trusted by over 100,000 geeks!

Previous
Next