[tex]\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta \pi r^2}{360}\quad
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=5\\
\theta =70
\end{cases}\implies A=\cfrac{70\cdot \pi \cdot 5^2}{360}\implies A=\cfrac{1750\pi }{360}
\\\\\\
\textit{there are two sectors, thus }2A\implies 2\cdot \cfrac{1750\pi }{360}\implies \cfrac{175\pi }{18}[/tex]