Question

if a point p is 17 cm from the centre of a circle of radius 8 cm then find the length of the tangent drawn to the circle from point p​

Answer 1

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