给定对角线长度的六边形面积

给定六边形的对角线长度 d。你的任务是找到那个六边形的面积。
例子：

Input :   5
Output :   Area of Hexagon: 16.238

Input : 10
Output : Area of Hexagon: 64.9519

六边形
六边形是具有六个相等边和所有相等角度的正多边形。六边形的内角各为120度，六边形所有内角之和为720度。

设 d 为六边形的对角线，则计算六边形面积的公式为
面积 =

    $$$ \frac{3 \sqrt{3}d^2}{8} $$$

上面的公式是如何工作的？
我们知道边长为a = (3 √3(a) ² ) / 2 的六边形面积。由于所有边的大小和角度都是120 度，因此d = 2a 或a = d/2。输入这个值后，我们得到面积为 (3 √3(d) ² ) / 8。
下面是实现。

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 ode
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.   
}

Javascript

// 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
 

输出：

Area of Hexagon:  64.952 

时间复杂度： O(1)