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A symmetrical lamina of mass \( M \) consists of a square shape with a semi-circular section over each edge of the square (see figure). The side of the square is \( 2 a \). The moment of inertia of the lamina about an axis through its centre of mass and perpendicular to the plane is \( 1.6 M a^{2} \). The moment of inertia of the lamina about the tangent \( A B \) in the plane of the lamina is
(a) \( 3.6 \mathrm{Ma}^{2} \)
(b) \( 4.2 M a^{2} \)
(c) \( 4.8 \mathrm{Ma}^{2} \)
(d) \( 5.4 \mathrm{Ma}^{2} \)
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