Partitioning a unit disk?

Consider a disk of unit radius centered at the origin in the xy-plane. The disk is now divided into sixteen parts by the coordinate axes and the four lines x = +/- a, y = +/- a. Can "a" be chosen in such a way that all 16 pieces have identical areas? Justify your answer (and if it's... show more Consider a disk of unit radius centered at the origin in the xy-plane. The disk is now divided into sixteen parts by the coordinate axes and the four lines x = +/- a, y = +/- a. Can "a" be chosen in such a way that all 16 pieces have identical areas? Justify your answer (and if it's "yes," find "a").
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