Question

Q7. 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:

Using pythagoras theorem,

OP

2

+PQ

2

=OQ

2

⇒OQ

2

+24

2

=25

2

⇒OQ

2

=25

2

−24

2

⇒OQ

2

=625−576=49

⇒OQ=

49

=7cm

∴ Radius of the circle is 7cm