The angle subtended by an arc of a circle at the centre is \(\frac{\pi}{3} radians\). If the radius of the circle is 12cm, calculate the perimeter of the major arc.

a

\(4(6 + 5\pi)\)

b

\(4(6 + 2\pi)\)

c

\(4(3 + 3\pi)\)

d

\(4(3 + 5\pi)\)

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