Draw a circle chart, then try to map out the answer. I cant make a virtual one
        
             
        
        
        
This is how your graph should look like
 
        
        
        
Answer:
One
Step-by-step explanation:
9/sin(34) = 6/sinC
sinC = 0.372795269
C = 21.9, 158.1
Since 158.1 + 34 = 192.1 > 180
It will not form a triangle 
So,
Only one triangle with angle 21.9° at C
 
        
             
        
        
        
6 + 4 + 4 = 14 cm
2 * pi * r = 
2 * 3.14 * 3 = 18.84 / 2 = 9.42
14 + 9.42 = 23.42