Verified Answer :

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 = \(\frac{2\pi }{7}\) 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) =  \(\frac{2\pi }{7}\) × 3

           =  \(\frac{6\pi }{7}\)

           =  \(\frac{6(3.14)}{7}\)

           = 2.69 cm

Therefore, length of the arc will be 2.69 cm.