- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# Biggest Reuleaux Triangle within a Square which is inscribed within a Right angle Triangle?

Here we will see the area of biggest Reuleaux triangle inscribed within a square, that square is inscribed inside one right angled triangle. The side of the square is ‘a’. The height of the Reuleaux triangle is x. The base of the triangle is b, height of the triangle is l, and the hypotenuse is h.

We know that the side of square inscribed in a Right angled triangle with height l and base b is −

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

## Example

#include <iostream> #include <cmath> using namespace std; float areaReuleaux(float l, float b) { //l and b are height and base of right angled triangle if (l < 0 || b < 0) //either l or b is negative it is invalid return -1; float a = (l*b)/(l+b); float area = ((3.1415 - sqrt(3)) * (a) * (a))/2; return area; } int main() { float l = 5; float b = 12; cout << "Area of Reuleaux Triangle: " << areaReuleaux(l, b); }

## Output

Area of Reuleaux Triangle: 8.77858

- Related Questions & Answers
- Biggest Reuleaux Triangle within a Square which is inscribed within a Right angle Triangle in C?
- Biggest Reuleaux Triangle inscribed within a square which is inscribed within a hexagon?
- Biggest Reuleaux Triangle within a Square which is inscribed within a Circle?
- Biggest Reuleaux Triangle inscribed within a square which is inscribed within an ellipse?
- Biggest Reuleaux Triangle inscribed within a square which is inscribed within a hexagon in C?
- Biggest Reuleaux Triangle within a Square which is inscribed within a Circle in C?
- Biggest Reuleaux Triangle inscribed within a Square inscribed in an equilateral triangle?
- Biggest Reuleaux Triangle inscribed within a square which is inscribed within an ellipse in C?
- Biggest Reuleaux Triangle within A Square?
- Biggest Reuleaux Triangle inscribed within a Square inscribed in an equilateral triangle in C?
- Biggest Reuleaux Triangle inscirbed within a square inscribed in a semicircle?
- Biggest Reuleaux Triangle inscribed within a square inscribed in a semicircle in C?
- Biggest Reuleaux Triangle within A Square in C?
- Biggest Square that can be inscribed within an Equilateral triangle?
- Biggest Square that can be inscribed within an Equilateral triangle in C?

Advertisements