Circle Theorems – Angles in a Semi-circle

circle theorem angles in a semicircle 2
Description

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

  1. understand the angles in a semi-circle theorem and its relevance to circles;
  2. apply the theorem to determine angle measures in semi-circles and related scenarios;
  3. solve problems involving angles in a semi-circle and their applications.

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}

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