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Given circle O in the x-y coordinate plane and point A has a coordinate of $\left( 2,2\sqrt { 3 } \right)$ , find the length of arc AB.

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A

$\cfrac { 4\pi }{ 3 } $

B

$\cfrac { 2\pi }{ 3 } $

C

$\cfrac { 8\pi }{ 3 } $

D

$\cfrac { 3\pi }{ 2 } $

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