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A square is inscribed in a circle of radius $1$. Find the perimeter of the square.

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Official solution

Solution:
The square has diagonal length $2$, so the side length is $\sqrt{2}$ and the perimeter is $4\sqrt{2}$.

Source: MathNet, licensed CC-BY-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.