Find the center of the circle using the circumscribing the circle method.

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Step 1:

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Draw the square outside the circle in such a way that each of the four sides touches the circle

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at only one point.

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The line touches the circle at \"\" and \"\". 

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The square thus formed is \"\".

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Step 2:

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Join the opposite vertices of the square which forms the diagonals of the square.

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The diagonals such formed are \"\" and \"\".

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Step 3:

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The intersection point of these two diagonals is required center \"\".

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Above steps are illustrated in the figure.

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 \"\"