Question

In the diagram, O is the centre of the circle, PQ and RS are chords of equal length and M and N are their respective midpoints.

Angle OQP is 50 degrees and PQ length is 6cm.

Calculate the length of OM.​

Answer 1

Answer:

Rs = 6 cm

Step-by-step explanation:

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

∴RS=6cm

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