Denier Definition and Calculation

Denier (D) is a unit of measurement used to describe the linear mass density of textile fibres and yarns. It quantifies how thick or fine a yarn is.

Understanding Denier Measurement

• The standard definition of denier is the weight in grams of a specific length of yarn.
• This specific length is defined as 9,000 metres.
• Therefore, denier represents the mass (in grams) of 9,000 metres of yarn.

Formula and Application

The formula for calculating denier is:

$ \text{Denier (D)} = \frac{\text{Mass of yarn in grams}}{\text{Length of yarn in metres}} \times 9000 $

Based on this definition:

• Option A: 9000 metres of yarn accurately represents the standard definition of denier.
• Options B, C, and D represent different lengths and would lead to different units of measurement.

Conclusion

Denier is the weight in grams of 9,000 metres of yarn. This measurement helps determine the fineness and quality of textile materials.