- Trending Categories
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
Pragya wrapped a cord around a circular pipe of radius $4\ cm$ $(adjoining figure)$ and cut off the length required of the cord. Then she wrapped it around a square box of side $4\ cm$ $(also shown)$. Did she have any cord left? $(\pi=3.14)$
Given: Pragya wrapped a cord around a circular pipe of radius $4\ cm$ $(adjoining figure)$ and cut off the length required of the cord. Then she wrapped it around a square box of side $4\ cm$ $(also shown)$
To do: To check whether she have any cord left?
Solution:
Side of square box $=4\ cm$
The radius of circular pipe $=4\ cm$
Length of the cord $=$ Circumference of the circular pipe
$=2\pi r$
$=2\times 3.14\times 4\ cm$
$=25.12\ cm$
The perimeter of the square box $=4\times side$
$= 4\times 4\ cm$
$= 16\ cm$
Length of the cord left $=$ Circumference of the circular pipe-Perimeter of the square box
$= 25.12\ cm - 16\ cm$
$= 9.12\ cm$
Yes, $9.12\ cm$ cord is left.
Advertisements