Question

If a point P is 17 cm from the center of a circle of radius 8 cm, then find the length of the tangent drawn

to the circle from point P.​

Answer 1

Step-by-step explanation:

OA⊥PA ( ∵ radius is ⊥ to tangent at point of contact)

∴ In ΔOAP we have

PO

2

=PA

2

+AO

2

⇒(17)

2

=(PA)

2

+(8)

2

(PA)

2

=289−64=225⇒PA=

225

=15

Hence the length of the tangent from point P is 15cm

Answer 2

Answer:

OA⊥PA ( ∵ radius is ⊥ to tangent at point of contact)  

∴ In ΔOAP we have  

PO  

2

=PA  

2

+AO  

2

⇒(17)  

2

=(PA)  

2

+(8)  

2

 

(PA)  

2

=289−64=225⇒PA=  

225

​  

=15

Hence the length of the tangent from point P is 15cm

Step-by-step explanation:

mark me as brainliest and follow