Circle Theorems
Math · Intermediate · Lesson 4 of 7

Tangents & Chords

Right angles and products

An interactive lesson with 6 steps, about 5 minutes: you predict, drag and solve, with instant feedback on every answer. It runs in your browser and needs JavaScript.

What you’ll learn

  • A tangent is perpendicular to the radius at the point of contact.
  • The two tangents from an external point are equal in length.
  • Crossing chords: AE×EB=CE×EDAE \times EB = CE \times ED.

Steps

  1. Tangents
  2. Tangent length
  3. Crossing chords
  4. Belt around two tangents
  5. Tangent of length 4
  6. Intersecting chords