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OM is perpendicular to AB [perpendicular from the centre of the circle bisects the chord.]
∴AM=MB=4cm
Let radius of the circle OA be r cm.
OM = OQ - MQ ⇒ ( r - 2) cm
Using Pythagoras theorem in right angled triangle OAM
OA2=MA2+OM2
r2=42+(r−2)2
r2=16+r2−4r+4
⇒ r=5cm
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