AMC 10B 2012 Problem 16

Three circles with radius 2 are mutually tangent. What is the total area of the circles and the region bounded by them, as shown in the figure?

Answer Choices
A. 10 \pi+4 \sqrt{3}
B. 13 \pi-\sqrt{3}
C. 12 \pi+\sqrt{3}
D. 10 \pi+9
E. 13 \pi