A circle with radius 2 is placed against a right angle as shown. Another smaller circle is placed in the gap between the circle and the right angle. What is the radius of smaller circle?

1
\(3 - 2\sqrt 2\)
2
\(4 - 2\sqrt 2\)
3
\(6 + 4\sqrt 2\)
4
\(6 - 4\sqrt 2\)

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