- 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

# Draw a circle of radius $ 4 \mathrm{~cm} $. Draw any two of its chords. Construct the perpendicular bisectors of these chords. Where do they meet?

To do:

We have to construct the perpendicular bisectors of the given chords and find where they meet.

Solution:

__Steps of construction:__

(i) Let us draw a circle of radius $4\ cm$ and name its centre as $O$.

(ii) Now, let us draw any two chords on the circle and name the first chord as $\overline{AB}$ and the second chord as $\overline{CD}$ respectively.

(iii) Now, by taking the measure with the compasses greater than half of the length of $\overline{AB}$ let us draw two arcs from point $A$ and point $B$ above and below $\overline{AB}$ and point the intersections of arcs as $E$ and $F$ respectively.

(iv) similarly by taking the measure greater than half of the length of $\overline{CD}$ let us draw two arcs from point $C$ and point $D$ above and below the $\overline{CD}$ point the intersections of arcs as $G$ and $H$ respectively.

(v) Now, let us join the points $E$ and $F$ and points $G$ and $H$ respectively.

(vi) Therefore, $\overline{EF}$ and $\overline{GH}$ form the perpendicular bisectors of $\overline{AB}$ and $\overline{CD}$ respectively when both the bisectors are extended we can observe that they meet the centre $O$ of the circle.

- Related Questions & Answers
- Count ways to divide circle using N non-intersecting chords in C++
- CSS only Animate - Draw Circle with border-radius and transparent background
- Draw a circle using OpenCV function circle()
- How to draw a circle in JavaScript?
- How to draw a circle in R?
- Draw a circle in using Tkinter Python
- How to set the radius of a Circle using FabricJS?
- How to draw a circle in HTML5 SVG?
- How to draw a hollow circle in SVG?
- How to draw circle in HTML page?
- How to draw a circle with arc() in HTML5?
- How to draw a circle in OpenCV using Java?
- How to draw a circle in OpenCV using C++?
- Python Pandas - Draw a set of Horizontal point plots but do not draw lines to connect points with Seaborn
- Draw a curve connecting two points instead of a straight line in matplotlib
- How to draw a filled circle in OpenCV using Java?