Answer:
288°
Step-by-step explanation:
[tex]l = \frac{ \theta}{360 \degree} \times c \\ \\ where \\ l = length \: of \: the \: arc \\ \theta \: = measure \: of \: the \: central \: angle \\ c = circumference \: of \: the \: circle \\ \\ \implies \: \frac{32}{5} = \frac{ \theta}{360 \degree} \times 8 \\ \\ 40 \theta = 32 \times 360 \degree \\ \\ \theta = \frac{ 32 \times 360 \degree}{40} \\ \\ \theta =32 \times 9 \degree\\ \\ \theta =288 \degree [/tex]
