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Circle Theorems•
Circles•
Lines and Angles

Circle Theorems (A) WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge: Parts of a circle, Angles
Learning Objective: Finding angles using circle theorems

Circle Theorems (A) WORKSHEET DESCRIPTION

This worksheet will help learners practise using the circle theorems “angles in the same segment are equal” and “the angle at the centre is twice the angle at the circumference”. It may also lead them into some of the other circle theorems.

Section A provides some straightforward diagrams with missing angles to find.

Section B then increases the complexity of the diagrams and changes the type of angle notation used. Follow on from this worksheet with Circle Theorems (B).

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

Circle Theorems Worksheet suitable for students in KS4

RELATED TO Circle Theorems (A) WORKSHEET

Learning the Circle Theorems

Year groups: 10, 11

Preview of Learning the Circle Theorems

Circle Theorems (B)

Year groups: 10, 11

Preview of Circle Theorems (B)

Area and Circumference

Year groups: 8, 9

Preview of Area and Circumference

Circle Theorems (C)

Year groups: 10, 11

Preview of Circle Theorems (C)

Frequently Asked Questions

Your students will primarily work with two key circle theorems: 'angles in the same segment are equal' and 'the angle at the centre is twice the angle at the circumference'. As they progress through the more complex diagrams, they may naturally encounter and need to apply some of the other circle theorems as well.