[tex]\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta\pi r^2}{360}\qquad
\begin{cases}
r=4\\
\theta=112
\end{cases}\implies A=\cfrac{112\cdot 16\cdot \pi }{360}\implies \boxed{A=\cfrac{224}{45}\pi}
\\\\\\
A\approx 15.64\\\\
-----------------------------\\\\
\textit{area of a circle is }\pi r^2\textit{ so the other side will be}
\\\\\\
\pi r^2-\cfrac{224\pi }{45}\implies 16\pi -\cfrac{224\pi }{45}\implies \boxed{\cfrac{496\pi }{45}}\implies A\approx 34.68[/tex]
