// HexagonValue.cc
// Program to calculate the area of a regular hexagon inscribed in a
// circle as sum of areas of 6 triangles by calling AreaTriangle()

#include <iostream>
using namespace std;

// AreaTriangle function prototype
float AreaTriangle(float base, float height); 

int main()
{
   float side, segmentHeight, hexagonArea;
   float cosTheta = 0.866025;

   cout << "Program to calculate the area of a hexagon" << endl;
   cout << "Enter side of hexagon: ";
   cin >> side;

   // Base of triangle is equal to side, height is side*cos(30)
   segmentHeight = side*cosTheta;

   // Function returns area of segment. 6 segments for total area.
   hexagonArea =  6.0 * AreaTriangle(side,segmentHeight);

   cout << "Area of hexagon = " << hexagonArea << endl;
   return 0;
}

// AreaTriangle function definition
float AreaTriangle(float base, float height)
{
   float area;
        
   area = (base*height)/2.0;
   return area;
}