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 squares formed by joining mid points repeatedly in C Program?
Suppose we have one square whose side is ‘a’. We will make more squares by attaching the mid-points of the squares repeatedly. The number of repetition is n times. We have to find the area of nth square.
As the side of the outer square is ‘a’, then area is
Now using Pythagorean theorem, we can get the area of the second rectangle is −
Similarly, area of 3rd square is −
Using this we can understand that the area of nth square is −
Example
#include <iostream>
#include <cmath>
using namespace std;
float area(float a, float n) {
if (a < 0 ) //if the value is negative it is invalid
return -1;
float area = (a*a) / pow(2, n-1);
return area;
}
int main() {
float a = 20.0, n = 10.0;
cout << "Area : " << area(a, n);
}Output
Area : 0.78125
Updated on: 20-Aug-2019
61 Views
Advertisements