Question

A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at

a point Q, so that OQ = 12 cm. Find the length of PQ​

Answer 1

Answer:

Step-by-step explanation:

Given,

Radius OP=5cm and OQ=12cm

PQ is the tangent to the circle.

∠OPQ=$\frac{90}{0}$

 So,by Pythagoras theorem we get,

$\frac{PQ}{2}$

=OQ  2  −OP  2

 =>PQ  2

=12  2  −5  2

=>PQ  2  =144−25

=>PQ  2  =$\sqrt{199}$