Question

1. From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from
the centre is 25 cm. The radius of the circle is
(B) 12 cm
(D) 24.5 cm


(A) 7 cm
(C) 15 cm​

Answer 1

Answer:

A) 7

Step-by-step explanation:

Correct option is

A

7

Let QP be the tangent, such that, Point of contact is P.

Length of the tangent to a circle = 24cm

$$PQ=24cm$$

Let O be the centre of the circle.

OQ=25cm

We have to find the radius OP

Since QP is tangent

OP perpendicular to QP (Since, Tangent is Perpendicular to Radius at the point of contact)

So, ∠OPQ=90

∘

So apply Pythogoras theorem to right triangle, OPQ;

OP

2

=OQ

2

−PQ

2

OP

2

=25

2

−24

2

OP

2

=49cm

OP=

49

OP=7cm

option A is the answer.

Please make me Brainlist