In a C program, translate the following into Chinese: What is the area of ​​a square inscribed in a circle inscribed in an equilateral triangle?

Here we will see that the area of ​​a square is inscribed in a circle, and that the circle is inscribed in an equilateral triangle. The side of the square is "a". The radius of the circle is "r" and the side of the hexagon is "A". The chart is shown below.

#We know that the radius of the inscribed circle of an equilateral triangle is the inner radius of the triangle. So the value is -

so the diagonal of the square is -

so the area of ​​the square is -

Example

#include <iostream>
#include <cmath>
using namespace std;
float area(float A) { //A is the side of the triangle
   if (A < 0) //if the value is negative it is invalid
      return -1;
   float d = A / sqrt(3);
   float area = 0.5*d*d;
   return area;
}
int main() {
   float side = 10;
   cout << "Area is: " << area(side);
}

Output

Area is: 16.6667

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