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.