A smooth vector field $\vec{G}$ has $\mathrm{curl}( \vec{G}(0,0,0) ) = 3 \vec{i} - 6 \vec{j} + 8 \vec{k}$. Estimate the circulation around a circle of radius $0.09$ centered at the origin in each of the following planes.

(a) The xy-plane, oriented counterclockwise when viewed from the positive z-axis.
Circulation $\approx$

(b) The yz-plane, oriented counterclockwise when viewed from the positive x-axis.
Circulation $\approx$

(c) The xz-plane, oriented counterclockwise when viewed from the positive y-axis.
Circulation $\approx$