What is the area of the region enclosed by three identical circles (each of radius 4 cm) touching each other?
1
\( \frac{{{\rm{8\pi }}}}{3}\,{\rm{square}}\,{\rm{cm}}\)
2
\( \left( {16\sqrt 3 \,\, - \frac{{8{\rm{\pi }}}}{3}} \right)\,{\rm{square}}\,{\rm{cm}}\)
3
\( \left( {16\sqrt 3 \,\, - \,\,8{\rm{\pi }}} \right)\,{\rm{square}}\,{\rm{cm}}\)
4
\( \frac{{16\,{\rm{\pi }}}}{{\sqrt 3 }}\,{\rm{square}}\,{\rm{cm}}\)