Question

From a point A, the length of the tangent to a circle is 24cm and the diameter of A from the centre is 26cm.what will be the radius of the circle

Answer 1

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;

OP2=OQ2−PQ2

OP2=252−242

OP2=49cm

OP=49

OP=7cm