Q. 64.3( 333 Votes )

The length of a t

Answer :


Let us consider a circle centred at point O.


AB is a tangent drawn on this circle from point A.


Given that,


OA = 5cm and AB = 4 cm


In ΔABO,


OB AB (Radius tangent at the point of contact)


Applying Pythagoras theorem in ΔABO, we obtain


AB2 + BO2 = OA2


42 + BO2 = 52


16 + BO2 = 25 BO2 = 9


BO = 3


Hence, the radius of the circle is 3 cm.


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