A 12 m long wire is cut into two pieces, one of which is bent into a circle and the other into a square enclosing the circle. What is the radius of the circle?
1
\(\frac{12}{\pi + 4}\)
2
\(\frac{6}{\pi + 4}\)
3
\(\frac{3}{\pi + 4}\)
4
\(\frac{6}{\pi + 2\sqrt 2}\)