a circle has a circumference of 12. it has an arc of length 11. what is the central angle of the arc, in degrees?

Answer:   330⁰Step-by-step explanation:Circumference (C) = 2π · radius(r)                           12 = 2π·r                      [tex]\dfrac{6}{\pi}=r[/tex]Arc length (s) = radius(r) · θ           (reminder that theta is in radians)                   [tex]11=\dfrac{6}{\pi}\cdot \theta[/tex]                   [tex]\dfrac{11\pi}{6}=\theta[/tex]To convert radians to degrees, use the proportion:   π = 180⁰  [tex]\dfrac{\pi}{180}=\dfrac{11\pi}{6x}\\\\6x(\pi)=180(11\pi)\\\\x=\dfrac{180(11\pi)}{6\pi}\\\\x=30(11)\\\\x=330[/tex]