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Geometry & MeasuresStudy Notes

Worked Example 1

Part of Properties of Circles — GCSE Mathematics

This study notes 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 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 3 of 5

Practice

10 questions

Recall

4 flashcards

Worked Example 1

A circle has a diameter of 18 cm. Calculate the circumference. Give your answer in terms of π.

Solution

Use the formula: Circumference = πd

Where d is the diameter

d = 18 cm

C = π × 18

Circumference = 18π cm

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 VocabularyWorked Example 2The Perfect ShapeWorked 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.

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Circle Vocabulary

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Worked Example 2