The smallest circle that surrounds any rectangle ("a rectangle"), is called circumscribed circle around the rectangle.
For any such a rectangle and circumscribed circle, its center lies in the intersection point of the rectangle's diagonals,
and each of the two diagonals is a diameter of the circle.
The diagonal (each diagonal) of a 5-by-12 rectangle has the length of 13 units
(13^2 = 5^2 + 12^2).
The radius of this circle is half of the diagonal length.
Therefore, the radius of such circle is = 6.5 units.
Answered, solved, and explained.
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