The radius of a circle is 17.5 cm.

Given:
Radius = 17.5 cm
Length of the arc = 44 cm

Now,

Length of the arc $=\frac{2 \pi \mathrm{r} \theta}{360}$

$\Rightarrow 44=2 \times \frac{22}{7} \times 17.5 \times \frac{\theta}{360}$

$\Rightarrow \theta=\frac{44 \times 7 \times 360}{44 \times 17.5}$

$\Rightarrow \theta=144^{\circ}$

Also,

Area of the sector $=\frac{\pi r^{2} \theta}{360}$

$=\frac{22}{7} \times 17.5 \times 17.5 \times 144$

$=385 \mathrm{~cm}^{2}$