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Circle Theoremsā€¢
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Proving Circle Theorems - Angle at the Centre WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 8-9
Prerequisite knowledge: Circle theorems, forming algebraic expressions.
Learning Objective: To be able to prove the circle theorem "the angle at the centre is twice the angle at the circumference".

Proving Circle Theorems - Angle at the Centre WORKSHEET DESCRIPTION

This worksheet will scaffold a method to prove the circle theorem ā€œthe angle at the centre is twice the angle at the circumferenceā€. Learners can follow a step-by-step method, filling in gaps of algebraic angle labels to complete the proof.

Learners could then be asked to recreate the proof by hiding this worksheet, only referring to it if needed.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

Proving%20Circle%20Theorems%20Angle%20at%20the%20Centre%20Worksheet

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Frequently Asked Questions

Students should already be familiar with circle theorems and have experience forming algebraic expressions before tackling this worksheet. This foundation is essential because the proof requires learners to work with algebraic angle labels and understand the geometric relationships within circles. Without these prerequisite skills, students may struggle to follow the step-by-step method effectively.