Question

From a point P a tangent is drawn to circle of diameter 48 cm. The point P is situated at a distance of 25 cm from center O of the circle then the length of tangent is.​

Answer 1

Step-by-step explanation:

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.