Question

Find the length of the tangent from a point which is at a distance of 5 cm from the centre of the circle of radius 3cm

Answer 1

Answer:The length of the tangent is 4cm.

Step-by-step explanation:

Given : The tangent drawn to a circle of radius 3cm ,from a point at a distance 5cm from the center.

To find : The length of the tangent?

Solution :

We draw a circle with center O and radius OA=3 cm and one tangent is form from the center forming a triangle OAB , OB=5 cm

Refer the attached figure below.

We know that, tangent to a radius of the circle is perpendicular  

So, ∠OAB=90°

Applying Pythagoras theorem in right angle triangle OAB,

Therefore, The length of the tangent is 4cm.

Step-by-step explanation: hope it helped u