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The program to find the area of a square inscribed in a circle which itself is inscribed in an equilateral triangle. The radius of circle inscribed inside an equilateral is a/(2√3).

The diameter of circle is the diagonal of square, d = 2 * r = a/ √3

Area formula for area of square given its diagonals is ½ d^{2},

A = 0.5 * d2 A = (1/2) * (a^{2}) / (3) = (a^{2}/6)

#include <iostream> using namespace std; int main() { float area,a = 10; area = (a*a) / 6; cout <<"area = "<<area<< endl; return 0; }

area = 16.6667

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