Given here is an equilateral triangle with side length a, the task is to find the area of the circle inscribed in that equilateral triangle.
Input : a = 4 Output : 4.1887902047863905 Input : a = 10 Output : 26.1799387799
Area of equilateral triangle =
Semi perimeter of equilateral triangle = (a + a + a) / 2
Radius of inscribed circle r = Area of equilateral triangle / Semi perimeter of equilateral triangle
Area of circle = PI*(r*r) =
Below is the implementation of above approach:
- Area of a square inscribed in a circle which is inscribed in an equilateral triangle
- Biggest Reuleaux Triangle inscribed within a Square inscribed in an equilateral triangle
- Largest square that can be inscribed within a hexagon which is inscribed within an equilateral triangle
- Largest hexagon that can be inscribed within an equilateral triangle
- Biggest Square that can be inscribed within an Equilateral triangle
- Count of distinct rectangles inscribed in an equilateral triangle
- Area of a circle inscribed in a rectangle which is inscribed in a semicircle
- 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
- Program to calculate area and perimeter of equilateral triangle
- Program to calculate area of Circumcircle of an Equilateral Triangle
- Program to calculate the Area and Perimeter of Incircle of an Equilateral Triangle
- Area of decagon inscribed within the circle
- Area of circle inscribed within rhombus
- Biggest Reuleaux Triangle within a Square which is inscribed within a Circle
If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to firstname.lastname@example.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.
Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.