You can have a tangent line for every point on a circle, so the answer is theoretically infinite.
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A circle does not have a set of parallel lines in the traditional sense, as parallel lines are defined as lines that never intersect and remain equidistant from each other. However, you can draw lines that are tangent to a circle at various points, and these tangent lines can be parallel if they are at the same distance from the center of the circle. But in the context of the circle itself, it does not contain parallel lines.
A secant line touches a circle at two points. On the other hand a tangent line meets a circle at one point.
Although normally it is the line that is considered to be tangent to an arc, an arc can be tangent to infinitely many lines and so the answer to the question is: in infinitely many ways.
A tangent of a circle is a straight line that touches the circle at only one point.
That's not a question -- not even a sentence.