Question

length of tangent drawn from a point 8cm away from center
of circle of radius 6cm is ​

Answer 1

Step-by-step explanation:

use pythagorus (?)^2=(8)^2+(6)^2

=64+36

? =10

lenght of tangent is 10 cm

Answer 2

Answer:

2√7 cm

Step-by-step explanation:

Given,

Radius of the circle=6 cm

Distance of the tangent from the center =8 cm

Length of the tangent(distance from the external point to the point of the contact with the radius)= ?

Under the given conditions, we form right triangle, where the radius is the perpendicular, length of the tangent is the base and the length of the tangent from the center is the hypotenuse.

(refer the attachment)

We need to find the length of PT.

So, PT²=OP²-OT²

⇒PT=√(8²-6²)

⇒PT= √(64-36)

⇒PT= √28

⇒PT= 2√7 cm