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

This topic has expert replies
Legendary Member
Posts: 1622
Joined: 01 Mar 2018
Followed by:2 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

2019-09-21_1753.png
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