- 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

# Area of a circle inscribed in a rectangle which is inscribed in a semicircle in C?

A circle inscribed in a rectangle touches the larger side of the rectangle with its ends i.e. the length is tangent to the circle.

A rectangle inscribed in a semicircle touches its arc at two points. The breadth of the rectangle is equal to the diameter of the circle.

If **R** is the radius of semi-circle.

Length of the rectangle = √2**R**/2

Breadth of the rectangle = **R**/√2

Radius of biggest circle inscribed is

**r** = **b**/2 = **R**/2√2

Using this formula we can find the area of this circle inscribed in a rectangle which is inscribed in a semicircle,

**Area = (π*r ^{2}) = π*R/8**

## Example

#include <stdio.h> int main() { float a = 5; float area = 3.14 * a/ 8; printf("The area of the circle inscribed in a rectangle inscribed in a semicircle of radius %f is %f", a , area); return 0; }

## Output

The area of the circle inscribed in a rectangle inscribed in a semicircle of radius 5.00000 is 1.962500

- Related Questions & Answers
- Area of a circle inscribed in a rectangle which is inscribed in a semicircle?
- Area of a triangle inscribed in a rectangle which is inscribed in an ellipse?
- Area of a square inscribed in a circle which is inscribed in a hexagon in C Program?
- C Program for Area of a square inscribed in a circle which is inscribed in a hexagon?
- Area of a triangle inscribed in a rectangle which is inscribed in an ellipse In C Program?
- Area of a square inscribed in a circle which is inscribed in an equilateral triangle in C Program?
- Area of a square inscribed in a circle which is inscribed in an equilateral triangle in C Program?
- Area of a circle inscribed in a regular hexagon?
- Area of circle which is inscribed in an equilateral triangle?
- Biggest Reuleaux Triangle inscribed within a square inscribed in a semicircle in C?
- Area of circle which is inscribed in equilateral triangle in C Program?
- Area of circle inscribed within rhombus?
- Area of circle inscribed within rhombus in C Program?
- Biggest Reuleaux Triangle within a Square which is inscribed within a Circle in C?
- Area of decagon inscribed within the circle in C Program?

Advertisements