Given a circle with centre O, Q is a point in the exterior such that OQ =2.5cm and the length of the tangent from Q to the circle is 2cm. Find the radius of circle
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Let AP be a tangent drawn from P to a circle with centre O such that AP = 24 cm and OB = 25 cm.
In right angled △ OAB,
OP2=OA2+AP2
252=OA2+242
OA2=49
OA=7 cm
Hence, the radius of circle is 7 cm.
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