Length of a chord is 30 cm in a circle whose radius is 17 cm. What will be the distance of this chord from the centre ?
Answer & explanation
Correct answer: option 4
PO is the radius of the circle
∴PO=17 cm.
Given, the length of the chord PQ=30 cm.
PM=MQ=15 cm.
Using Pythagoras theorem in ΔPOM,
we get,
PO2 = PM2+MO2
172 = PM2+MO2
⇒MO2=289−225=64
⇒MO=8 cm.