PrepWisePrepWiseProperties of Circles
Geometry & MeasuresIntroduction

The Perfect Shape

Part of Properties of Circles — GCSE Mathematics

This introduction covers The Perfect Shape 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 1 of 5 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 5

Practice

10 questions

Recall

4 flashcards

The Perfect Shape

Circles are everywhere - wheels, clocks, pizzas! Every point on a circle is the same distance from the centre. This simple rule creates one of maths' most beautiful shapes, with its own special vocabulary.

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 1Worked Example 2

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.

Want to test your knowledge?

PrepWise has 10 exam-style questions and 4 flashcards for Properties of Circles — with adaptive difficulty and instant feedback.

Join Alpha

Back to

Properties of Circles

Next

Circle Vocabulary