Question

. From a point P, the length of the tangent to a circle is 15 cm and distance of P from the centre of the circle is 17 cm. Then what is the radius of the circle?​

Answer 1

Step-by-step explanation:

Let the centre of circle be O and the tangent touches the circle at point P

Now OP=r and triangle OQP is right angles triangle

OQ

2

=OP

2

+PQ

2

(17)

2

=r

2

+(15)

2

⇒r

2

=289−225=64

⇒r=

64

=8