Circles

There are exactly three ways

There are exactly three ways a line can be positioned relative to a circle: (1) Non-intersecting line - has no common points with the circle, (2) Seca

The tangent at any point

The tangent at any point of a circle is always perpendicular to the radius drawn to that point of contact. This creates a 90° angle between the tangen

The number of tangents depends on

The number of tangents depends on point location: (1) Point inside circle - Zero tangents possible (all lines through the point intersect the circle a

When two tangents are drawn from

When two tangents are drawn from an external point to a circle, their lengths are always equal. Proof uses congruent right triangles: In triangles OQP

The point of contact is where

The point of contact is where the tangent touches the circle. The tangent length is the distance from the external point to the point of contact. This