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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