INFINITY SQUARES........

Geometry Level pending

In the following picture, the smallest square has a side length of \(1cm\). The \(four\) \(vertexes\) are connected to the \(dotted\) \(circle\) below. The four sides of the \(circle\) are then connected to the \(second\) \(square\) which is larger than the \(first\) \(square\). (This is considered as one process.) At least how many time do we need to repeat this process to make the last square is larger than \(1km^{2}\)?

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