Question 160
The figure shows three concentric semicircles with radii $1$, $2$, and $4$. Regions denoted by $X$ have area $x$ and regions denoted by $Y$ have area $y$. What is the ratio between areas $x$ and $y$?

(A) $1 : 3$ (B) $1 : 2$ (C) $2 : 3$ (D) $3 : 8$ (E) $4 : 9$

(A) $1 : 3$ (B) $1 : 2$ (C) $2 : 3$ (D) $3 : 8$ (E) $4 : 9$