# The diameter of a circle is a line which joins two points on the circle and also passes through the centre of the circle. In the below figure $\mathrm{AB}$ is a diameter of the circle; $\mathrm{C}$ is its centre. Express the diameter of the circle $(d)$ in terms of its radius $(r)$."

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Given:

The diameter of a circle is a line which joins two points on the circle and also passes through the centre of the circle.

In the given figure $\mathrm{AB}$ is a diameter of the circle; $\mathrm{C}$ is its centre.

To do:

We have to express the diameter of the circle $(d)$ in terms of its radius $(r)$.

Solution:

$\mathrm{AB}$ is the diameter of the circle

From the figure,

$AB=AC+BC$

$=r+r$

$=2r$

$d=2r$

The diameter of the circle $(d)$ in terms of its radius $(r)$ is $d=2r$.

Updated on 10-Oct-2022 13:36:46