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# Biggest Reuleaux Triangle within A Square?

Here we will see the area of biggest Reuleaux triangle inscribed within a square. The side of the square is ‘a’. And the height of the Reuleaux triangle is h.

The height of the Reuleaux triangle is same as a. So a = h. So the area of Reuleaux triangle is −

## Example

#include <iostream> #include <cmath> using namespace std; float areaReuleaux(float a) { //side of square is a if (a < 0) //if a is negative it is invalid return -1; float area = ((3.1415 - sqrt(3)) * (a) * (a))/2; return area; } int main() { float side = 8; cout << "Area of Reuleaux Triangle: " << areaReuleaux(side); }

## Output

Area of Reuleaux Triangle: 45.1024

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