The length of the tangents drawn from a point A at a

distance 5cm from the centre of the circle is 4cm. Find

The length of the tangents drawn from a point A at a

distance 5cm from the centre of the circle is 4cm. Find

the radius of the circle.​

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  1. Step-by-step explanation:

    AB is a tangent drawn on this circle from point A. OBJ … OB I AB OA = 5cm and AB = 4 cm (Given) In AABO, By Pythagoras theorem in AABO, OA2 = AB2 + BO2 → 52 = 42 + BO2 %3D > BO2 = 25 – 16 > BO2 = 9 > BO = 3 … The radius of the circle is 3 cm.

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