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GRe circles tangent.png [ 29.61 KiB | Viewed 26 times ]
In the figure above, the ratio of the areas of the two circles touching each other as shown is $2: 1$. If the area of the bigger circle is $\pi$, what is the distance between the centers of the two circles?
(A) $\(\frac{1+\sqrt{2}}{2}\)$
(B) $\(\frac{2+\sqrt{2}}{2}\)$
(C) $\(\frac{3+\sqrt{2}}{2}\)$
(D) $\(\frac{2+2 \sqrt{2}}{2}\)$
(E) 2
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