List of top General Aptitude Questions on Quantitative Aptitude: Geometry of Circles and Tangency asked in GATE CH

As shown in the figure, circle C1 with center O1 and radius r1 touches the square VWXY at points P and Q while circle C2 with center O2 and radius r2 touches the square VWXY at points R and S. The two circles touch each other at T.
Given r1 = 1 cm and VY = VW = 4 cm, r2 = cm.