Question

From a point P the length of tge tangent to a circle is 24 cm and distance of P from the centre is 25 cm. Find radius ​

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

2

=25

2

−24

2

OP

2

=49cm

OP=

49

​

OP=7cm

Hope it helps

Answer 2

Answer:

ANSWER

Let AP be a tangent drawn from P to a circle with centre O such that AP = 24 cm and OB = 25 cm.

In right angled △ OAB,

OP

2

=OA

2

+AP

2

25

2

=OA

2

+24

2

OA

2

=49

OA=7 cm

Hence, the radius of circle is 7 cm.

Step-by-step explanation:

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