Respuesta :

the length of arc AC = 30* BC/2= 30*12=360
AC = 360

For this case we have that by definition the arc length is given by: [tex]S = \frac {\alpha} {360} 2 \pi r[/tex]

Where,

  • α: central angle
  • r: radius of the circle

Then, replacing values we have:

[tex]S = \frac {30} {360} 2 \pi (12)\\S = 6.28[/tex]

Answer:

The length of the AC arc is given by:

[tex]S = 6.28[/tex]