Question 1154417
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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  {{{13/2}}} = 6.5 units.
</pre>

Answered, solved, and explained.


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