###### Question 36 (Textile Engineering & Fibre Science)

If the distance between two adjacent fibres of circular cross-section in a hexagonally packed yarn is equal to the radius of the fibre, then the packing density of yarn, accurate to three decimal places, is _**_0.380 to 0.420_**_.

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**Given in the question**:**a=d/2****In hexagonally packing**

If, distance between two adjacent fibres of circular cross-section= **a**

And dia of fibres=**d**

i.e., Radius of fibres=**d/2****By formula**–

**Packing density of yarn(P.C)=0.385 (Answer)**