Circle Theorems – Angle at the Centre

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

1. understand the angle at the center theorem and its relationship to the measure of the corresponding arc;
2. apply the theorem to solve problems involving angles and arcs in circles;
3. demonstrate an understanding of the concept through practical 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}