Respuesta :

arc length = θ/2pi * 2pi * r = θ * r = 2pi/7 * 3 = 6pi/7 = 2.69 cm

Answer:

Length of the arc will be 2.69 cm.

Step-by-step explanation:

We have to calculate the length of an arc if θ = [tex]\frac{2\pi }{7}[/tex] and radius of arc is 3 cm.

As we know length of an arc = r × θ

By putting the values of angle θ and radius of arc r in the formula

m (arc) =  [tex]\frac{2\pi }{7}[/tex] × 3

           =  [tex]\frac{6\pi }{7}[/tex]

           =  [tex]\frac{6(3.14)}{7}[/tex]

           = 2.69 cm

Therefore, length of the arc will be 2.69 cm.