Stage 18 · Circles

18.4.2 Line and Circle: Apart, Tangent, or Crossing

18.4 Point, Line, Circle — Who Touches Whom

Point 2 of 4

18.4.2 Line and Circle: Apart, Tangent, or Crossing

Core idea

Compare the distance d from the center to the line against r — d > r misses entirely, d = r just grazes at one point, d < r cuts through at two.

Module goal. Use one unifying key — comparing a distance against the radius — to judge how a point, a line, and two circles sit relative to one another.
eastmath.com · 18.4 Point, Line, Circle — Who Touches Whom · 18.4.2 Line and Circle: Apart, Tangent, or Crossing