Here we will see the area of circle which is inscribed in a rhombus. The diagonals of the rhombus are ‘a’ and ‘b’. The radius of the circle is h.
Two diagonals are creating four equal triangles. Each triangle is right-angled triangle, so their area is −
Each side of the rhombus is the hypotenuses −
So the area of the circle is −
Example
#include <iostream> #include <cmath> using namespace std; float area(float a, float b) { if (a < 0 || b < 0) //if the values are negative it is invalid return -1; float area = (3.1415 * (a*b * a*b))/(4 * (a*a + b*b)); return area; } int main() { float a = 8, b= 10; cout << "Area is: " << area(a, b); }
Output
Area is: 30.6488