Question

In the given figure, what is the value of $x$?
[1 Mark]

Answer 1

In the figure, we are given chords PQ and RS that subtend equal angles at the centre.
i.e., $\angle POQ=\angle ROS$
We know that if the angles subtended by the chords of a circle at the centre are equal, then the chords are equal.
$\Rightarrow PQ=RS$
$\Rightarrow x=5\text{cm}$
[1 Mark]