Step-by-step explanation:
[tex]we \: have \alpha = \frac{arc \: length}{radius} \\ here \: \alpha = 170 \\ arc \: length = x \\ radius = 8cm \\ then \: 170 \times \frac{\pi}{180} = \frac{x}{8} \\ \frac{17\pi}{18} = \frac{x}{8} \\ x = \frac{17\pi \times 8}{18} \\ x = \frac{17\pi \times 4}{9} \\ x = \frac{68\pi}{9} \\ thank \: you[/tex]
