Yes but no bigger than its diameter
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Because it's a chord not a diameter.
Yes but a chord cannot be bigger than the circle's diameter which is its largest chord.
The longest chord in a circle is its diameter and halve of this is its radius.
The name is "chord".If the line segment happens to go through the center of the circle, thenit is also given the additional name "diameter", and no other chord in thesame circle can be longer than that one is.
You cannot. If you rotate the circle around its centre, the lengths of the radius and chord will remain the same but the coordinates of the chord will change.