Question

a tangent PQ at apoint P of a circle of radius 5cm meets a line through the centre O at a point Q so that OQ =13 cm. Find the length of PQ​

Answer 1

Answer:Given,

Radius OP=5cm and OQ=12cm

PQ is the tangent to the circle.

∠OPQ=90  

0

 

So,by Pythagoras theorem we get,

PQ  

2

=OQ  

2

−OP  

2

 

=>PQ  

2

=12  

2

−5  

2

 

=>PQ  

2

=144−25

=>PQ  

2

=119

=>PQ=  

119

​  

cm

Step-by-step explanation: