Respuesta :

Answer:

The answer is option 2.

Step-by-step explanation:

Given that the formula or Arc is, Arc = θ/360×2×π×r² where r represents the radius of circle. So you have to substitute the value of θ and r into the formula in order to find the length of Arc AB :

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

Let r = 7 cm

Let θ = 80°

Let Arc be AB,

[tex]ab = \frac{80}{360} \times 2 \times \pi \times 7[/tex]

[tex]ab = \frac{2}{9} \times 14 \times \pi \\ab = \frac{28}{9} \pi \: \: cm[/tex]