The straight distance between two points on a circle through its center is called the diameter.

The diameter is the distance between any two opposite points on a circle but the opposite points are defined by considering the center (or centre) of a circle.

Hence, the diameter of a circle is measured from any point on a circle to its opposite point on the same circle through the centre (or center) of circle.

It is expressed graphically by a line segment between two opposite points through the center of a circle. It is usually denoted by an alphabet $d$ in geometric mathematics.

In a circle, the diameter is equal to two times the radius.

$Diameter \, (d)$ $\,=\,$ $2 \times Radius$

This geometrical relationship is used as a formula in geometry to find diameter from radius and vice versa.

Let $E$ be any point on the circle and $F$ be its reflection in the point of view of its center or centre ($C$).

Now, draw a straight line from point $E$ to $F$ through $C$. It forms a line segment $\overline{EF}$ and the length of that line segment is called the diameter.

$\implies$ $Diameter \,(d) \,=\, EF$

$\implies$ $Diameter \,(d) \,=\, EC+CF$

In this case, the distance between points $C$ and $E$ and also distance between points $C$ and $F$ is the radius of this circle.

$\,\,\,\therefore\,\,\,\,\,\,$ $d \,= \, 2 \times CF$ (or) $d \,= \, 2 \times CE$

Latest Math Topics

Jul 24, 2022

Jul 15, 2022

Latest Math Problems

Sep 30, 2022

Jul 29, 2022

Jul 17, 2022

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

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

Learn how to solve the maths problems in different methods with understandable steps.

Copyright © 2012 - 2022 Math Doubts, All Rights Reserved