Geometry & MeasuresDiagram

Worked Example 1

Part of Properties of Circles · GCSE GCSE Mathematics revision

This diagram covers Worked Example 1 within Properties of Circles for GCSE Mathematics. Revise Properties of Circles in Geometry & Measures for GCSE Mathematics with 10 exam-style questions and 4 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 3 of 6 in this topic. Focus on the labels, the relationships between parts, and the explanation that turns the diagram into an exam-ready answer.

Topic position

Section 3 of 6

Practice

10 questions

Recall

4 flashcards

Circle with all parts labelled: radius, diameter, chord, tangent, sector, segment, arc, and circumference

Worked Example 1

Keep building this topic

Read this section alongside the surrounding pages in Properties of Circles. That gives you the full topic sequence instead of a single isolated revision point.

Circle Vocabulary Worked Example 2 The Perfect Shape Worked Example 3

Practice Questions for Properties of Circles

A triangle is drawn inside a circle with one side being the diameter. What is the size of the angle at the circumference opposite the diameter?

A. 45°
B. 60°
C. 90°
D. 180°

1 markfoundation

Prove that the angle in a semicircle is 90°, using the theorem that the angle at the centre is twice the angle at the circumference.

3 markshigher

Quick Recall Flashcards

Tangent

Line touching circle at one point, perpendicular to radius

Tangent Rule

A tangent ALWAYS meets the radius at 90° at the point of contact.

10 questions on Properties of Circles — practise free

Instant marking, adaptive difficulty, and 4 spaced repetition flashcards. Free until your GCSEs.

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Circle Vocabulary

Worked Example 2