![Trending Articles on Technical and Non Technical topics](/images/trending_categories.jpeg)
Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies
- 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
Advertisements