How many tangents can be drawn to a circle?

A tangent is a straight line that touches a curve or a curved surface at a single point, without crossing it. A circle is a continuous curve composed of an infinite number of points along its circumference. Since a unique tangent line can be drawn at every single point on the circle's circumference, and there are infinitely many points on a circle, it follows that an infinite number of tangents can be drawn to a circle. Options A, B, and C suggest a finite number, which contradicts the continuous nature of a circle.