Worked Example: Centre and Circumference
This study notes covers Worked Example: Centre and Circumference within Circle Theorems for GCSE Mathematics. Revise Circle Theorems in Geometry & Measures for GCSE Mathematics with 18 exam-style questions and 5 flashcards. This topic shows up very often in GCSE exams, so students should be able to explain it clearly, not just recognise the term. It is section 4 of 6 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 4 of 6
Practice
18 questions
Recall
5 flashcards
Worked Example: Centre and Circumference
Points A, B, C lie on a circle with centre O. Angle AOC = 124°. Find angle ABC.
Step 1 Identify the theorem
AOC is at the centre, ABC is at the circumference
→ Use Theorem 1: angle at centre = 2× angle at circumference
Step 2 Apply the theorem
124° = 2 × Angle ABC
Angle ABC = 124° ÷ 2 = 62°
Keep building this topic
Read this section alongside the surrounding pages in Circle Theorems. That gives you the full topic sequence instead of a single isolated revision point.
Practice Questions for Circle Theorems
AB is a diameter of a circle. Point C lies on the circle. What is the size of angle ACB?
State the circle theorem used to find angle x in the diagram, and explain why it applies in this situation.
Quick Recall Flashcards
18 questions on Circle Theorems — practise free
Instant marking, adaptive difficulty, and 5 spaced repetition flashcards. Free until your GCSEs.
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