Question

In the given figure, PT is the tangent to the circle with centre O. Given OP = 25 cm and PT = 24 cm, find
the radius of the circle.
A
T
O
Р P.​

Answer 1

Answer:

let AP be a tangent drawn from P to a

circle with center O such that AP = 24cm and OB= 25cm.

In right angled ∆ OPB,

OP²= OA²+ AP²

OA²= 49

OA= 7cm

Hence, the radius of circle is 7cm.

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