side of a square

Level pending

A square ABCD is inscribed in a circle of radius 'a'. Another circle is inscribed in ABCD and a square EFGH is inscribed in this circle. The side EF is equal to :

(1) \(\frac{a}{\sqrt2}\)

(2) a\(\sqrt2\)

(3) a

(4) \(\frac{a}{2}\)

If your answer is (4), type as 4.

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