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GCSE Maths: Perimeter & Circumference

Calculate the area and circumference of circles and semicircles. Practise it with adaptive questions for AQA, Edexcel, OCR and Eduqas.

GeometryFoundation & HigherAQA · Edexcel · OCR · Eduqas

What you need to know

The concepts examiners test on perimeter & circumference, and what each one is really asking.

Calculate circumference given radius or diameter
Calculate area given radius or diameter
Solve reverse problems to find radius/diameter
Calculate perimeter and area of semicircles/quarter circles

Where marks get lost

The exam technique that separates a correct method from a correct answer.

  • Using the diameter instead of the radius for the area formula
  • Squaring the pi as well as the radius (it's π × r², NOT (πr)²)
  • Forgetting to add the straight edge when finding the perimeter of a semicircle
  • Confusing the area and circumference formulas (Cherry Pie Delicious, Apple Pies are too)

Perimeter & Circumference questions students ask

Is Perimeter & Circumference on the Foundation paper?

Yes. Perimeter & Circumference appears at both Foundation and Higher tier, though Higher papers take it further.

What should I know before starting Perimeter & Circumference?

It builds on Squaring numbers and Multiplying decimals. If those feel shaky, practise them first — Perimeter & Circumference questions assume them.

What is the most common mistake in Perimeter & Circumference?

Using the diameter instead of the radius for the area formula.

Which exam boards cover Perimeter & Circumference?

All four we support — AQA, Edexcel, OCR and Eduqas. GCSE Maths subject content is set by the DfE, so the topic is common to every board; what changes is the paper structure and the grade boundaries.