Circle Theorems – Angles in a Semi-circle

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.

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}