What is the central angle of the arc

Answer:
20°
Step-by-step explanation:
[tex] \because \: l = \frac{ \theta}{360 \degree} \times c \\ \\ \therefore \: \frac{1}{3} = \frac{ \theta}{360 \degree} \times 6 \\ \\ \therefore \: \theta = \frac{360 \degree}{3 \times 6} \\ \\ \therefore \: \theta = \frac{360 \degree}{18} \\ \\ \therefore \: \huge \red{ \boxed{ \theta = 20 \degree}} \\ [/tex]