8/30/2014 Given a circle with equation: x² + y² – 10x + 12y – 39 = 0 inscribed in a square, find the diagonal of the square.


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8/30/2014 Solution. Completing the Square for the circle to find its radius, we get: (x – 5)² + (y + 6)² = 100 so that radius, r = 10. Since the circle is inscribed in the square, side of the square is 20 making its diagonal, d = 20√2.