Answer:
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Step-by-step explanation:
Correct option is B)
The circumference of the circle is 96 units.
Therefore, 2π×r=96 
⇒r= 
2×22
96×7
 
 =15.27 units
Now, in the quadrilateral OLMN,∠OLM+∠LMN+∠MNO+∠NOL=360 
o
 
Given that LM and MN are tangents to the circle, ∠OLM=∠ONM=90 
o
 
∴∠NOL=360−90−90−60=120 
o
 
The length of arc is given by rθ where θ is the angle made by the arc at the centre in radian.
Thus, arc length LN=15.27× 
180
120π
 
 =31.98