The formula for arc length is:
[tex]\frac{s}{theta} =\frac{r}{1}[/tex]
s is the arc length
r is the radius
theta will be in radians
In this case:
s = unknown
r = 8 cm
theta = [tex]\frac{2\pi }{3}[/tex]
^^^Plug this into formula given above
[tex]\frac{s}{\frac{2\pi }{3}} =\frac{8}{1}[/tex]
Cross multiply
s * 1 = [tex]\frac{2\pi }{3}[/tex] * 8
s = [tex]\frac{2\pi*8 }{3}[/tex]
s = [tex]\frac{16\pi }{3}[/tex]
^^^This is your arc length
Hope this helped!
~Just a girl in love with Shawn Mendes