The solutions to the equation (z+6)^{8}=81 are connected in the complex plane to form a convex regular polygon, three of whose vertices are labeled A, B, and C. What is the least possible area of \triangle A B C ?
Answer Choices
A. \dfrac{1}{6} \sqrt{6}
B. \dfrac{3}{2} \sqrt{2}-\dfrac{3}{2}
C. 2 \sqrt{3}-2 \sqrt{2}
D. \dfrac{1}{2} \sqrt{2}
E. \sqrt{3}-1