Question

length of a tangent segment drawn from a point which is at a distance 12.5 cm from the center of a circle is 12 cm find the diameter of circle​

Answer 1

Answer:

Let external point be B. OA be radius of circle.  

Given:  

OB=12.5 cm

AB=12 cm

In right triangle, AOB, by Pythagoras Theorem,

OB  

2

=AB  

2

+OA  

2

 

AO  

2

=OB  

2

−OA  

2

=12.5  

2

−12  

2

=12.25

∴AO=3.5 cm

Diameter=2(AO)=2(3.5)=7 cm

Step-by-step explanation:

Answer 2

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