Question

A pointP is at a distance of 5cm from the centre O of a circle . If the radius of the circle is 3cm ,find the length of the tangent from P to the circle​

Answer 1

Answer:

3cm

Step-by-step explanation:

Given: OA=5 cm and AB=4 cm  

ΔAOB is right angle triangle, right angle at B

By using Pythagoras Theorem, we have

OB  

2

+AB  

2

=OA  

2

 

OB is the radius of triangle

OB  

2

+16=25

⟹OB  

2

=25−16

⟹OB  

2

=9

⟹OB=  

9

​  

=3cm

Radius of circle is 3 cm