Geometry & MeasuresIntroduction

The Geometry of Pizza

Part of Circle Theorems · GCSE GCSE Mathematics revision

This introduction covers The Geometry of Pizza 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 1 of 6 in this topic. Use this introduction to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 1 of 6

Practice

18 questions

Recall

5 flashcards

The Geometry of Pizza

Imagine a pizza. The crust is the circle's circumference. Cut a slice from the centre? That's two radii making an angle at the centre. But what if you connect two points on the crust to another point ON the crust? That angle is always exactly HALF the centre angle. Circle theorems are about these beautiful relationships!

Complete visual guide to all 8 circle theorems

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.

The Eight Circle Theorems Solving Circle Theorem Problems Worked Example: Centre and Circumference

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?

A. 45°
B. 60°
C. 90°
D. 180°

1 markfoundation

State the circle theorem used to find angle x in the diagram, and explain why it applies in this situation.

2 marksstandard

Quick Recall Flashcards

Angle in Semicircle

Any angle inscribed in a semicircle (with diameter as base) is always 90°. Always!

Cyclic Quadrilateral

If all 4 vertices lie on a circle, opposite angles sum to 180°. Also works in reverse: if opposite angles sum to 180°, then it's cyclic!

18 questions on Circle Theorems — practise free

Instant marking, adaptive difficulty, and 5 spaced repetition flashcards. Free until your GCSEs.

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Circle Theorems

The Eight Circle Theorems