Answer:[tex]330^{\circ}[/tex]
Step-by-step explanation:
Given
Circumference of circle [tex]C=12\ units[/tex]
Arc length [tex]l=11\ units[/tex]
we know arc length is given by
[tex]l=\frac{\theta }{360^{\circ}}\times 2\pi r[/tex]
substituting value we get
[tex]11=\frac{\theta }{360}\times 12[/tex]
[tex]\frac{11}{12}=\frac{\theta }{360}[/tex]
[tex]\therefore \ \theta =330^{\circ}[/tex]
