How is a tangent line related to the radius of a circle at the point of tangency

A tangent line and a radius of a circle at a point of tangency are perpendicular to each other.

A tangent is a line that intersects a circle externally at a point, and the point is referred to as point of tangency. While the radius of a given circle can be determined by dividing its diameter into two parts.

At the point of tangency, the radius of a circle would be perpendicular to the tangent of the circle. Thus, there is a right angle between the two.

This implies that the radius of a circle and a tangent to the circle coincides at the tangency at a right angle to each other.

Therefore the relationship between a tangent line and radius at the point of tangency is that they are perpendicular.

A simple sketch is attached to this answer for more clarifications.

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When a radius of a circle is drawn to a point of tangency (from the center, of the circle, of course), that radius is perpendicular to the tangent line

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