Arc length is represented by the following expression, if the angles is in degrees:
[tex]\begin{gathered} s=2\pi r(\frac{\theta}{360}) \\ \text{where,} \\ r=\text{radius} \\ \theta=\text{ angle in degrees} \end{gathered}[/tex]
Since we have a radius of 5mm and an angle of 232°, we can solve for s:
[tex]\begin{gathered} s=2\pi(5)(\frac{232}{360}) \\ s=\frac{2320\pi}{360} \\ s=20.25\text{ mm} \end{gathered}[/tex]
