Question

in the adjoining figure ob and oc are two tangents to the circle center a and radius 3 cm of ob = 4cm find the length of oa and the area of the quadrilateral oabc.

Answer 1

Answer:

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Step-by-step explanation:

Two concentric circles with center O. OA is 5 cm and OB is 3 cm.  

Join OP.

Now, in △OAP

∠OAP=90  

∘

 (Angles between radius and tangent)

OA  

2

+AP  

2

=OP  

2

 

5  

2

+12  

2

=OP  

2

 

OP=13 cm

In △OBP,

OB  

2

+BP  

2

=OP  

2

 

3  

2

+BP  

2

=13  

2

 

BP=  

160

​  

=4  

10

​  

 cm