Question

The radius of circle 2√5 cm. the length of the tangent drawn from a point at a distance of 6 cm from the centre is:

Answer 1

Answer:

hope it's helpful to you!

Step-by-step explanation:

Let P be the given point, O be the centre of the circle and PT be the length of tangent from P.

Then, OP=25 cm and OT=7 cm.

Since tangent to a circle is always perpendicular to the radius through the point of contact.

∴∠OTP=90

o

In right triangle OTP, we have

OP

2

=OT

2

+PT

2

⇒25

2

=7

2

+PT

2

⇒PT

2

=25

2

−7

2

=(25−7)(25+7)=576

⇒PT=24 cm.

Hence, length of tangent from P=24 cm