SquareABCD has side length 6. Circle Q is tangent to sides AB and BC, and isexternally tangent to circle P. Circle P is tangent to sides CD and DA,and is externally tangent to circles O1 and O2. Circle O1 is tangent toside CD, circle O2 is tangent to side DA, and circles O1 and O2 areexternally tangent to each other and to circle P. If the radius ofcircle P is twice the radius of circle Q, and if circles O1 and O2 bothhave radius r, then r is (upto 2 places of decimal)

1) 0.29
2) 0.36
3) 0.47
4) 0.54
5) None of these