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:

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 =25

2 −24 2

OP 2 =49cm

OP=

49

OP=7cm

Step-by-step explanation:

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Answer 2

Answer:

the radius of the circle is - 17cm