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  4. Let A , B , C be three points on a circle of radius 1 such that angle ACB =(π/4). Then the length of the side AB is

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Q. Let $A , B , C$ be three points on a circle of radius $1$ such that $\angle ACB =\frac{\pi}{4}$. Then the length of the side $AB$ is

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Solution:

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Let $O$ be the centre of the circle
In $\triangle OAB$
$AB =\sqrt{2} r $ and $ r =1$
$\Rightarrow AB =\sqrt{2}$