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# 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) $.

"

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 $d=2r$.

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