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In the figure below, the rectangle at the corner measures $10\;\text{cm} \times 20\;\text{cm}.$ The corner A also the rectangle is also a point on the circumference of the circle. What is the radius of the circle in cm?

1. $10\;\text{cm}$
2. $40\;\text{cm}$
3. $50\;\text{cm}$
4. None of these

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