Question

From a point q, the length of the tangent to a circle is 24cm and the distance of q from the centre is 25cm. the radius of the circle is:- ​

Answer 1

Answer:

formula of radius = diameter (d)/2

25/2=12.5

Answer 2

Answer:

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=49cmOP= 49

OP=7cm

option A is the answer.

hope it is helpful for u