- 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
Find, in terms of $\pi$, the length of the arc that subtends an angle of $30^o$ at the centre of a circle of radius 4 cm.
Given:
An arc subtends an angle of $30^o$ at the centre of a circle of radius 4 cm.
To do:
We have to find the length of the arc in terms of $\pi$.
Solution:
Radius of the circle $r = 4\ cm$
Angle subtended by the arc at the centre $= 30^o$
We know that,
Length of an arc subtending an angle $\theta$ at the centtre $=2 \pi r(\frac{\theta}{360^{\circ}})$
Therefore,
Length of the arc $=2 \times 4 \times \pi \times \frac{30^{\circ}}{360^{\circ}}$
$=8 \pi \times \frac{1}{12}$
$=\frac{2}{3} \pi \mathrm{cm}$
The length of the arc is $\frac{2}{3} \pi \mathrm{cm}$.
Advertisements