Respuesta :

Let us have a denote the measure of the missing arc length.
Since all circles measures 360°, it is then understood that all circles have an angle of 2π .

   arc length     =  central angle
         2π              circumference    
 
substitute values:
      a       =   120° 
     2π          360°
multiply them by 2π and cancel out 2π so you will have
          a  =  24  π
                   36
Simplify 24/36 π--2/3π. Thus, the answer to this item is the third option.

(See attached file for clearer work)
 

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