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The figure above shows 2 circles. The larger circle has center A, radius R cm, and is inscribed in a square. The smaller circle has center C, radius r cm, and is tangent to the larg circle at point B and to the square at points D and F. If points A, B, C, and E are collinear,which of the following is equal to R/r?



~$\frac{2}{\sqrt{2}+1}$~

~$\frac{2}{\sqrt{2}-1}$~

~$\frac{2}{2\sqrt{2}+1}$~

~$\frac{\sqrt{2}+1}{\sqrt{2}-1}$~

~$\frac{2\sqrt{2}+1}{2\sqrt{2}-1}$~

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GMATAdvanced-PS