Spot’s doghouse has a regular hexagonal base that measures one yard on each side. He is tethered to a vertex with a two-yard rope. What is the area, in square yards, of the region outside the doghouse that Spot can reach?
Answer Choices
A. \dfrac{2}{3} \pi
B. 2 \pi
C. \dfrac{5}{2} \pi
D. \dfrac{8}{3} \pi
E. 3 \pi