Hi everyone,

Can anyone help me with this question:

I can't include the figures for this, and also I don't know latex sorry.

54. The four shaded circles in Figure 1 above are congruent and each is tangent to the large circle and to two of the other shaded circles. Figure 2 is the result of replacing each of the shaded circles in Figure 1 by a figure that is geometrically similar to Figure 1. What is the ratio of the area of the shaded portion of Figure 2 to the area of the shaded portion of Figure 1?

A) 1/(2sqrt2)

B) 1/(1+sqrt2)

C) 4/(1+sqrt2)

D) (sqrt2/1+sqrt2)^2

E) (2/1+sqrt2)^2

Correct answer is E