Math Doubts


A line segment whose endpoints lie on a circle is called a chord of a circle.


chord of a circle

There are many points on any circle. In some cases, a point on a circle is connected with another point on the same circle by a straight line.

The two points on the circle become the endpoints of the straight line. Hence, the straight line is geometrically known as a line segment.

The same line segment connects the both points on the circle and it is called a chord of the circle in geometric mathematics.


The concept of a chord of a circle can be understood from an understandable geometrical example.

chord of a circle example

Let $M$ and $N$ be any two points on a circle, and connect them by a straight line. The points $M$ and $N$ become the endpoints of line segment $\overline{MN}$ geometrically. So, the line segment $\overline{MN}$ is called a chord of this circle.

Similarly, $D$ and $E$ are another two points on the same circle but they are exactly opposite in the point view of the center (or centre) of the circle. The line segment $\overline{DE}$ is also called a chord of the circle.

Actually, the chord $\overline{DE}$ also represents the diameter of circle in this case. It clears that the line segment that represents the diameter is a longest chord of the circle.

Math Doubts

A best free mathematics education website that helps students, teachers and researchers.

Maths Topics

Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.

Maths Problems

A math help place with list of solved problems with answers and worksheets on every concept for your practice.

Learn solutions

Subscribe us

You can get the latest updates from us by following to our official page of Math Doubts in one of your favourite social media sites.

Copyright © 2012 - 2022 Math Doubts, All Rights Reserved