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Question

Radius of a circle is 17 cm. If length of the chord is 30 cm, then find its distance from the centre.
  1. 8

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Solution

The correct option is A 8

PO is the radius of the circle
PO=17 cm.
Given, the length of the chord PQ=30 cm.
The perpendicular from the centre of the circle to the chord bisects the chord.
PM=MQ=15 cm.
Using Pythagoras theorem in ΔPOM,
we get,
PO2=PM2+MO2
172=152+MO2
MO2=289225=64
MO=8 cm.

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