An equilateral triangle has side length 6 . What is the area of the region containing all points that are outside the triangle and not more than 3 units from a point of the triangle?

**Answer Choices**

A. 36+24 \sqrt{3}

B. 54+9 \pi

C. 54+18 \sqrt{3}+6 \pi

D. (2 \sqrt{3}+3)^{2} \pi

E. 9(\sqrt{3}+1)^{2} \pi