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 ?

12 cm  9 cm  15 cm  8 cm

8 cm

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.