The area of a circle of radius $25 \mathrm{c}\mathrm{m}$ is  ${\mathrm{cm}}^2$. (Take $\mathrm{\pi }=3.14$) 

In the figure below, if the radius of the larger circle is $12 \mathrm{c}\mathrm{m}$ and that of the smaller circle is $8 \mathrm{c}\mathrm{m}$, find the area of the shaded region. $\left(\mathrm{\pi }=3.14\right)$