The diagram shows an equilateral triangle \(ABC\) with all sides of length \(12\text{ cm}\).
\(ANP\) is a sector of a circle, centre \(A\).
\(N\) lies on \(AC\) such that \(AN:NC=2:1\).
\(P\) lies on \(AB\) such that \(AP:PB=2:1\).
Calculate the area of the shaded region.[4]
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