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Stokes' theorem equates the circulation of a field around a closed curve with the flux of its curl through any surface bounded by that curve: ∮F·dr = ∬(∇×F)·n dA. Only the component of the curl along the normal contributes.
Stokes' theorem
∮C F · dr = ∬S (∇ × F) · n dA
The projected curl is 2.5 cos 30° ≈ 2.1650635, giving a circulation of about 17.3205081.
No, as long as it is bounded by the same curve. That independence is exactly what the theorem asserts.