Worked Example: Centre and Circumference
Part of Circle Theorems — GCSE Mathematics
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 5 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 5
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°