To find the degree measure of the central angle corresponding to an arc length, you can use the formula for the arc length \( L \):
\[ L = r \theta \]
where:
- \( L \) is the arc length,
- \( r \) is the radius,
- \( \theta \) is the central angle in radians.
Given that the arc length \( L = 44 \) inches and the radius \( r = 12 \) inches, we can rearrange the formula to solve for \( \theta \):
\[ \theta = \frac{L}{r} = \frac{44}{12} \approx 3.6667 \text{ radians} \]
Now, to convert radians to degrees, we use the conversion factor \( \frac{180}{\pi} \):
\[ \text{Degrees} = \theta \times \frac{180}{\pi} \]
Substituting in our value for \( \theta \):
\[ \text{Degrees} \approx 3.6667 \times \frac{180}{\pi} \approx 3.6667 \times 57.2958 \approx 210.1 \]
Thus, the degree measure of the central angle to the nearest tenth of a degree is:
\[ \boxed{210.1^\circ} \]
So, the correct choice is 210.1°.