## The figure above shows $$2$$ circles. The larger circle has center $$A,$$ radius $$R\, \text{cm},$$ and is inscribed in

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### The figure above shows $$2$$ circles. The larger circle has center $$A,$$ radius $$R\, \text{cm},$$ and is inscribed in

by Gmat_mission » Sun Jan 23, 2022 1:42 am

00:00

A

B

C

D

E

## Global Stats

The figure above shows $$2$$ circles. The larger circle has center $$A,$$ radius $$R\, \text{cm},$$ and is inscribed in a square. The smaller circle has center $$C,$$ radius $$r \,\text{cm},$$ and is tangent to the larger 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 $$\dfrac{R}{r}?$$

A. $$\dfrac2{\sqrt2+1}$$

B. $$\dfrac2{\sqrt2-1}$$

C. $$\dfrac2{2\sqrt2+1}$$

D. $$\dfrac{\sqrt2+1}{\sqrt2-1}$$

E. $$\dfrac{2\sqrt2+1}{2\sqrt2-1}$$

Answer: D

Source: Official Guide

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