Answer:
[tex]C.\ 22.6mm[/tex]
Step-by-step explanation:
When one draws a diagonal in a square (a line connecting opposite corners), the halves of the square form (45-45-90) triangles. This means that the triangle follows the following ratio,
[tex](a)-(a)-(a\sqrt{2})[/tex]
Where (a) represents the legs or the sides adjacent to the right angle (angle with the box around it) and ([tex]a\sqrt{2}[/tex]) represents the hypotenuse or side opposite to the right angle.
Both legs have a length of (16)mm this is because all sides of a square are congruent, and the two sides adjacent to the right angle are both the sides of a square. One of them has the measure of (16) thus the other must have a measure of (16). This means that the diameter has the following value,
[tex]16\sqrt2}[/tex]
In numerical form,
[tex]\approx22.62[/tex]
