

- 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 circle which is inscribed in an equilateral triangle?
The area of a circle inscribed inside an equilateral triangle is found using the mathematical formula πa2/12.
Lets see how this formula is derived,
Formula to find the radius of the inscribed circle = area of the triangle / semi-perimeter of triangle.
Area of triangle of side a = (√3)a2/4
Semi-perimeter of triangle of side a = 3a/2
According to formula,
Radius of circle = (√3)a22/4 / 3a/2 = a/2√3
Area of circle = πr2 = πa2/12
Example Code
#include <stdio.h> int main(void) { int a = 5; float pie = 3.14; float area = (float)((pie*a*a)/12); printf("the area of circle inscribed in the triangle of side %d is %f",a,area); return 0; }
Output
the area of circle inscribed in the triangle of side 5 is 6.541667
- Related Questions & Answers
- Area of circle which is inscribed in 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 square inscribed in a circle which is inscribed in an equilateral triangle in C Program?
- Area of a triangle inscribed in a rectangle which is inscribed in an ellipse?
- Biggest Reuleaux Triangle inscribed within a Square inscribed in an equilateral triangle?
- Area of a circle inscribed in a rectangle which is inscribed in a semicircle?
- Biggest Reuleaux Triangle inscribed within a Square inscribed in an equilateral triangle in C?
- Area of a triangle inscribed in a rectangle which is inscribed in an ellipse In C Program?
- Count of distinct rectangles inscribed in an equilateral triangle in C++
- Program to calculate the Area and Perimeter of Incircle of an Equilateral Triangle What is Equilateral Triangle in C?
- Area of a circle inscribed in a rectangle which is inscribed in a semicircle in C?
- Program to calculate area of Circumcircle of an Equilateral Triangle
- Area of circle inscribed within rhombus?
- 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?
Advertisements