1. Use arc length relation

For a circle, $s = r\theta$ where $s$ is arc length and $\theta$ is in radians.

Given:

• arc length $= 4.4\ \text{ly}$
• angle subtended $= 4\ \text{rad}$

So radius is $r = \frac{s}{\theta} = \frac{4.4}{4}\text{ ly} = 1.1\text{ ly}$

2. Find circumference of the circle

Circumference: $C = 2\pi r = 2\pi(1.1) = 2.2\pi\ \text{ly}$

For $4$ revolutions, total distance traveled is $D = 4C = 4(2.2\pi) = 8.8\pi\ \text{ly}$

Using $\pi \approx 3.14$, $D \approx 8.8 \times 3.14 = 27.632\ \text{ly}$

3. Convert distance into meters

Given $1\ \text{ly} = 9.46 \times 10^{15}\ \text{m}$

Hence, $D = 27.632 \times 9.46 \times 10^{15}$ $D \approx 261.0 \times 10^{15} = 2.61 \times 10^{17}\ \text{m}$

4. Convert speed into m/s

Given speed: $v = 8\ \text{AU/s}$

Also, $1\ \text{AU} = 1.5 \times 10^{11}\ \text{m}$

So, $v = 8 \times 1.5 \times 10^{11} = 1.2 \times 10^{12}\ \text{m/s}$

5. Compute time

$t = \frac{D}{v} = \frac{2.61 \times 10^{17}}{1.2 \times 10^{12}}$ $t = 2.175 \times 10^5\ \text{s}$

So the time required is approximately $\boxed{2.2 \times 10^5\ \text{s}}$

6. Check options

The computed answer $2.2 \times 10^5\,\text{s}$ does not match any of the given options.

Therefore, none of the listed options is correct.

It appears the question or options may contain a typo. If the angle were interpreted differently or the speed unit were different, one might get an option closer to the list, but with the given data the correct value is: $\boxed{2.2 \times 10^5\ \text{s}}$