A tangent line.
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tangent
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A circle doesn't really have an edge, per se. But I think what you are referring to is a tangent.A tangent is a line that touches the perimeter of the circle at only one point.(see related link)
A tangent of a circle is a straight line that touches the circle at only one point.
The tangent line. A secant line hits the circle in two places and forms a cord, but the tangent line only hits the circle in one point and is always perpendicular to the radius of the circle which exists at that point.