Respuesta :

9.4 units.

Because,

Formula for arc length is 2times pie times radius times angle divided by 360.

Answer:

The answer is option 2.

Step-by-step explanation:

You have to use length or arc formula, Arc = θ/360×2×π×r where θ represents degrees and r is radius. Then substitute the following values into the formula :

[tex]arc = \frac{θ}{360} \times 2 \times \pi \times r[/tex]

Let θ = 45,

Let r = 12,

[tex]arc = \frac{45}{360} \times 2 \times \pi \times 12[/tex]

[tex]arc = \frac{1}{8} \times 24\pi[/tex]

[tex]arc = 9.42 \: units \: (3s.f)[/tex]