Answer:
radius = 12 cm
Step-by-step explanation:
al - Arc Length
[tex] \alpha \: - Central \: Angle ( in \: \: radians)[/tex]
r - Radius
[tex]al \: = 8\pi \: cm[/tex]
[tex] \alpha \: = \frac{2\pi}{3} [/tex]
[tex]al \: = \alpha \times r[/tex]
[tex]r \: = \frac{al}{ \alpha } [/tex]
[tex]r = \frac{8\pi}{( \frac{2\pi}{3} )} [/tex]
[tex]r = 12 \: cm[/tex]