A6 The snail trail wraps around such that the diameter of the loop is equal to the previous radius (see figure). How many centimeters is the snail trail?
(A) $3.25 \pi$
(B) $3.5 \pi$
(C) $3.75 \pi$
(D) $4 \pi$
(E) $4.25 \pi$

![](https://cdn.mathpix.com/cropped/2024_06_07_91db77e4bb8bf03ce3c4g-2.jpg?height=323&width=419&top_left_y=2397&top_left_x=1498)
A6. The length of the meander is the sum of the lengths of four different circular arcs, where each circular arc represents half the circumference of a selected circle with radii of 2, 1, $\frac{1}{2}$, and $\frac{1}{4} \mathrm{~cm}$. Since half the circumference of a circle with radius $r$ is calculated as $\pi r$, the length of the meandering line is $2 \pi + 1 \pi + \frac{1}{2} \pi + \frac{1}{4} \pi = 3.75 \pi$.

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