How Do You Calculate Lateral Strain from Diameter Changes?

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To calculate lateral strain from diameter changes, the formula Δd/d is used, where Δd represents the change in diameter and d is the initial diameter. This approach focuses on the direct relationship between diameter changes and lateral strain. While some may consider using area changes (ΔA/A), the discussion emphasizes that the diameter-based formula is more straightforward for this calculation. Understanding lateral strain is crucial for applications involving material deformation. Accurate calculations are essential for engineering and material science applications.
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I'm trying to compute lateral strain for a bar (strain that would make it thicker, or have more cross sectional area).

All I know are the initial and final diameters. This gives me d1 and Δd.

Would the lateral strain be Δd/d or ΔA/A? (A is area)
 
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The former
 
Δd/d
 

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