A circle \(C\) with centre \(O\) is inscribed inside rectangle \(ABCD,\) such that \(C\) is the largest possible circle

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A circle \(C\) with centre \(O\) is inscribed inside rectangle \(ABCD,\) such that \(C\) is the largest possible circle which can be inscribed inside this rectangle, without crossing the sides of rectangle. Is rectangle \(ABCD\) a square?

1) Circle C touches all four sides of rectangle \(ABCD\)

2) \(OA = OC\)

OA A
Source: — Data Sufficiency |