ANSWER
6cm
EXPLANATION
Given;
[tex]\begin{gathered} d=16cm \\ r=\frac{d}{2}=\frac{16}{2} \\ =8 \\ \theta=\frac{3}{4}\times\frac{180}{\pi} \\ =42.972 \end{gathered}[/tex]
Hence, recall the formula for calculating length of arc is;
[tex]\frac{\theta}{360}\times2\pi r[/tex]
Substitute the values;
[tex]\begin{gathered} \frac{\theta}{360}\times2\pi r \\ \frac{42.9718}{360}\times2\times3.142\times8 \\ =\frac{2160.18}{360} \\ =6 \end{gathered}[/tex]
Therefore, the length of the arc FG is 6cm
