SOLUTION
The formula for length of arc is given as
[tex]A_L=\frac{\theta}{360}\times2\pi r[/tex]For the length of arc FEG
[tex]\begin{gathered} \theta=360-47-80 \\ \theta=233 \end{gathered}[/tex]Therefore the length of arc FEG is
[tex]\frac{233}{360}\times2\times\pi\times7[/tex]Calculate the value
[tex]\frac{233}{360}\times2\times\pi\times7=28.47[/tex]Therefore, the length of arc FEG is 28.47 yards