A circle has a radius of 10 meters and a central angle AOB that measures 140 degrees. What is the area of sector AOB? Use 3.14 for pi and round your answer to the nearest tenth.
[tex]\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta\pi r^2}{360}\qquad
\begin{cases}
\theta=\textit{central angle in degrees}\\
r=radius
\end{cases}[/tex]