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The tangent of a circle refers to a line that intersects the circle at exactly one point, known as the point of tangency. The tangent line is perpendicular to the radius of the circle at the point of tangency. In other words, it touches the circle at only one point and does not cross through it.
The tangent of a circle has several important properties:
 The tangent line and the radius at the point of tangency form a right angle.
 The length of the tangent segment from the point of tangency to the intersection point with the circle is equal for all tangents drawn from a given external point.
 The tangents drawn from an external point are equal in length.
Tangent lines are widely used in mathematics, particularly in geometry and trigonometry, to solve problems involving circles and their properties. They help determine angles, lengths, and relationships between different parts of a circle.