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The exact length of arc AB is 4πcm

The formula for calculating the length of an arc is expressed as:

  • \(L = r \theta\)

where:

  • r is the radius of the circle AB
  • \(\theta\) is the central angle in radians

Given

r = AB = 12cm

\(\theta\) \(= \pi / 3\)

Substiute;

L = 12 * π/3

L = 4π

L = 12.56 cm

Hence the exact length of arc AB is 4πcm

Learn more on length of an arc here: https://brainly.com/question/2005046