question_answer

A floral design is made on the floor in which ABCDEF is a regular hexagon. The arc \[\overset\frown{AB},\]\[\overset\frown{BC},\] \[\overset\frown{CD},\] \[\overset\frown{EF}\] and \[\overset\frown{FA}\] are the semicircles with sides of the hexagon as diameter. If each side of the hexagon is 3 cm, then find the area of the figure shown below.

A)  \[\frac{27}{4}\,\,(\pi +2\,\sqrt{3})c{{m}^{2}}\]

B)  \[\frac{27}{2}(6\,\sqrt{3}+3\pi )c{{m}^{2}}\]

C)  \[(\sqrt{3}-3\pi )c{{m}^{2}}\]  

D)  \[(6\,\sqrt{3}-3\pi )c{{m}^{2}}\]

E)  None of these