Respuesta :

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