If a circle of constant radius \( 3 k \) passes through the origin ...

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If a circle of constant radius \( 3 k \) passes through the origin
P \( O \) and meets the coordinate axes at \( A \) and \( B \), then the locus

W of the centroid of triangle \( O A B \) is
(1) \( x^{2}+y^{2}=(2 k)^{2} \)
(2) \( x^{2}+y^{2}=(3 k)^{2} \)
(3) \( x^{2}+y^{2}=(4 k)^{2} \)
(4) \( x^{2}+y^{2}=(6 k)^{2} \)
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