Bunuel wrote:

Attachment:

gpp_img7.png

In the diagram above, point B is the center of Circle #1 and point D is the center of Circle #2. If the ratio of the area of Circle #2 to the area of Circle #1 is 3:2, what is the ratio CE:BC?

A. 1.5

B. \(\sqrt{3}\)

C. 3

D. \(\sqrt{6}\)

E. 6

Kudos for a correct solution.Area(C2) : Area (C1) = 3 :2

Diameter(C2) : Diameter(C1) = \(\sqrt{(3/2)}\)

CE: AB = \(\sqrt{(3/2)}\)

CE: 2BC = \(\sqrt{(3/2)}\)

CE:BC = 2*\(\sqrt{(3/2)}\) = \(\sqrt{4*(3/2)}\) = \(\sqrt{6}\)

Answer D
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