Three circles with radii 1 unit touch each other externally while a bigger circle encloses all 3. A smaller circle is drawn in the area enclosed by the 3 circles,concentric with bigger circle such that it touches all the 3 circles. The ratio of the radius of smallest circle to that of the biggest circle is :Koi Sultan Mirza hai yahan jo diagram k sath samjha sake..?? Dua lagega batado plz...

1) 1/(4 - 2(3)^1/2 )
2) 1/( 2+(3)^1/2)
3) 1/(7+ 4(3)^1/2 )
4) 1/(3+ (3)^1/2)