Respuesta :

Hrishii

Answer:

25.12 in

Step-by-step explanation:

In the given circle

  • radius (r) = 12 in

  • central angle [tex](\theta) = 120\degree[/tex]

  • Formula for length of arc is given as:

  • [tex] l=\frac{\theta}{360\degree}\times 2\pi r[/tex]

  • Plugging the values of r and [tex]\theta[/tex] in the above equation, we find:

  • [tex] l=\frac{120\degree}{360\degree}\times 2(3.14) (12)[/tex]

  • [tex]\implies l=\frac{1}{3}\times 2(3.14) (12)[/tex]

  • [tex]\implies\huge\red{ l=25.12\:in}[/tex]