Question

length of the tangent to a circle is 24 cm and the point from which tangent is drawn is 26 cm away from the centre, find the radius of the circle​

Answer 1

Step-by-step explanation:

The radius of the circle is 10 cm.

Step-by-step explanation:

Given : A point p is 26cm away from the centre of the circle and the length of thr tangent drawn from p to the circle is 24cm .

To find : The radius?

Solution :

Let r be the radius and O be the center of a circle on which PT is a tangent from point P.

In right angled triangle OTP.

Applying Pythagoras theorem,

OT^2+PT^2=OP^2OT

2

+PT

2

=OP

2

r^2+24^2=26^2r

2

+24

2

=26

2

r^2=676-576r

2

=676−576

r^2=100r

2

=100

r= 10r=10

Therefore, The radius of the circle is 10 cm.