The semicircles and the equivalent triangles in the figure are congruent. If the radius of the semicircle is "r", what is the total area of the shape?

 The semicircles and the equivalent triangles in the figure are congruent. If the radius of the semicircle is "r", what is the total area of the shape?

	A	$\left(2\sqrt{3}\pi \right)$ $\left(r^2\right)$
	B	$(2\sqrt{3}+\pi )$ $\left(r^2\right)$
	C	$(\frac{\sqrt{3}}{4}+\pi )$ $\left(r^2\right)$
	D	$(\frac{\sqrt{3}}{8}+\pi )$ $\left(r^2\right)$

Solution : B