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Solution:
The length of the arc is S = r × θ.
Given,
θ = 2𝜋/3
Radius, r = 4cm
Substituting these values in the formula
Arc length, S = 4 × 2𝜋/3
S = 8𝜋/3 cm
Therefore, arc length is 8𝜋/3 cm.
Summary:
The arc length if θ = 2 pi over 3 and the radius is 4 cm is 8𝜋/3 cm.