Question

find the length of tangent segment from a point. which is at a distance of 5 cm from the centre of the circle with radius 3 cm .

Answer 1

Hey friend your is here

Given: PQ is a tangent to the circle intersect at Q. OP = 5 cm and OQ = 3 cm.
To find: PQ
Proof:
In rt.△ OQP, by Pythagoras theorem
PQ =4

Therefore the length of the tangent from a point is 4 cm.     
    

Answer 2

Heya Frnd ..........☺

Distance of the point from center = 5 cm

Radius = 3 cm

reqd. distance = x

Now,

Tangent forms 90° at the center thus forming a right < ∆.


Therefore ,

5² = x² + 3²

25 - 9 =x²

So,

x = √16

x = 4 cm

So,

The reqd. distance is 4 cm.

_____☺☺☺_____

HOPE IT WILL HELP YOU............