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 areafloat hexagonArea(float d){ // Formula to find area return (3 * sqrt(3) * pow(d, 2)) / 8;}// Mainint 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 codeif __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 areafunction 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 areafunction 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.
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