Circle Theorems
Tangents to a Circle

By the end of this unit, students will be able to:

  1. understand the properties of tangents to a circle and their relationships with radii and angles;
  2. apply theorems involving tangents to solve problems and analyze geometric configurations;
  3. recognize scenarios where tangent properties are useful and apply them appropriately.

Curriculum Alignment: Key Stage 4: Geometry and measures

  • Identify and apply circle definitions and properties, including: centre, radius, chord, diameter, circumference, tangent, arc, sector and segment
  • {apply and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results}