Three equal circles each of diameter d are drawn on a plane in such a way that each circle touches the other two circles. A big circle is drawn in such a manner that it touches each of the small circles internally. The area of the big circle is
1
πd2
2
πd2 (2 - \(\sqrt{3} \))2
3
\(\frac{\pi d^2(\sqrt{3+1)^2}}{2}\)
4
\(\frac{\pi d^2(\sqrt{3}+2)^2}{12}\)