Answer:
60°
Step-by-step explanation:
[tex]length \: of \: arc \\ l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ \therefore \: 1 = \frac{ \theta}{360 \degree} \times 6..( \because \: 2\pi \: r = 6) \\ \\ \therefore \: 1 = \frac{ \theta}{60 \degree} \\ \\ \: \: \: \: \: \huge \red{ \boxed{\therefore \: \theta = 60 \degree}}[/tex]
Hence, the measure of central angle of arc is 60°.
