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The exact length of arc AB is 4πcm

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

  • [tex]L = r \theta[/tex]

where:

  • r is the radius of the circle AB
  • [tex]\theta[/tex] is the central angle in radians

Given

r = AB = 12cm

[tex]\theta[/tex] [tex]= \pi / 3[/tex]

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

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