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MA23-03 Maths Watch

Circle circumference and area

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In this lesson

In this video you'll learn about circle circumference and area for GCSE Maths, with worked examples and the mistakes examiners report.

By the end: Apply the formulae circumference = 2*pi*r = pi*d and area = pi*r^2 to calculate circle measurements, including as one step within a larger problem.

What it covers

  1. 0:50 Circle circumference and area: the radius is the distance
  2. 3:43 A clock face has a radius of seven centimetres, and the question wants the distance round the rim
  3. 5:34 A rug, and this time the area

Key words

For: AQA GCSE 8300, Cambridge IGCSE 0580, Edexcel GCSE 1MA1, Edexcel IGCSE 4MA1, Eduqas GCSE C300, OCR GCSE J560

On the specification

BoardSpecStatement
AQA GCSE 8300G17Know the formulae: circumference of a circle = 2πr = πd
Cambridge IGCSE 0580C5.3Carry out calculations involving the circumference and area of a circle.
Cambridge IGCSE 0580E5.3Carry out calculations involving the circumference and area of a circle.
Edexcel GCSE 1MA1G17Know the formulae: circumference of a circle = 2πr = πd, area of a circle = πr²; calculate: perimeters of 2D shapes, including circles; areas of circles and composite shapes; surface area and volume of spheres, pyramids, cones and composite solids
Edexcel IGCSE 4MA1F4.9EFind circumferences and areas of circles using relevant formulae; find perimeters and areas of semicircles
Eduqas GCSE C300FG15Know the formulae: circumference of a circle = 2πr = πd, area of a circle = πr²; calculate perimeters of 2D shapes, including circles; areas of circles and composite shapes; surface area and volume of spheres, pyramids, cones and composite solids
Eduqas GCSE C300HG17Know the formulae: circumference of a circle = 2πr = πd, area of a circle = πr²; calculate: perimeters of 2D shapes, including circles; areas of circles and composite shapes; surface area and volume of spheres, pyramids, cones and composite solids
OCR GCSE J56010.02bKnow and apply the formula circumference = 2πr = πd to calculate the circumference of a circle.
OCR GCSE J56010.03dKnow and apply the formula area = πr^2 to calculate the area of a circle.
For teachers

This GCSE Maths lesson teaches circle circumference and area. By the end, students should be able to apply the formulae circumference = 2*pi*r = pi*d and area = pi*r^2 to calculate circle measurements, including as one step within a larger problem. It works through three worked examples and the mistakes examiners report.