Question

If a point p is 17 cm from the centre of the circle of radius 8 cm. then find the length of the tangent dramn to the circle from point p. ​

Answer 1

Answer:

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

∴ In ΔOAP we have

PO² = PA² + AO²⇒(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