The area of the circle circumscribing three circles of unit radius touching each other is:

• A. \[(\pi /3){{\left( 2+\sqrt{3} \right)}^{2}}\]
• B. \[6\pi {{\left( 2+\sqrt{3} \right)}^{2}}\]
• C. \[3\pi {{\left( 2+\sqrt{3} \right)}^{2}}\]
• D. \[\left( \frac{\pi }{6} \right){{\left( 2+\sqrt{3} \right)}^{2}}\]