Question

In the figure, 'O' is the centre of the circle and OM, On are the perpendiculars from the centre to the chords PQ and RS. If OM = ON and PQ = 6 cm. Find RS.

Answer 1

In the figure $O$ is the centre of the circle and $OM,ON$ are the perpendiculars from the centre to the chords $PQ$ and $RS$ respectively.

If $OM=ON$ and $PQ=6cm$

We know that if two chords are equidistant from the centre then the two chords are equal in length.

Hence $PQ=RS$

$\therefore RS=6cm$