Question

In the figure, PT is tangent to a circle with centre O, PT = 36 cm, AP = 24 cm. Find the radius of the circle.​

Answer 1

Answer:

Correct option is

B

34 cm

Given PT=30cm

OT is the radius of a cicle

therefore OT will be half of given diameter

OT = 16cm

∠OTP = 90

∘

(tangent is perpendicular to radius at point of contact)

now apply pythoguras theorem to

OP

2

=OT

2

+TP

2

OP

2

=16

2

+30

2

OP=

1156

OP=34

So answer will be option B.