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MathematicsGeometryAges 12–14

Circles: Circumference & Area

Calculate the circumference and area of circles using the formulae C = πd (or 2πr) and A = πr², and solve problems involving perimeters and areas of composite shapes that include circular parts

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If your child wants to know how far a bicycle wheel travels in one full rotation, can they use the diameter of the wheel and π (pi) to work out the circumference?

Calculate the circumference and area of circles using the formulae C = πd (or 2πr) and A = πr², and solve problems involving perimeters and areas of composite shapes that include circular parts

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Circles: Circumference & AreaProcedural concept

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Check understanding

  • Calculate the circumference and area of a circle given its radius or diameter
  • Find the perimeter or area of a composite shape made from rectangles and semicircles
  • Explain the relationship between π, diameter, and circumference informally
“If your child wants to know how far a bicycle wheel travels in one full rotation, can they use the diameter of the wheel and π (pi) to work out the circumference?”

Curriculum record

Type
Procedural
Subject
Mathematics
Domain
Geometry
Age range
Ages 12–14

Standards

ccss-math:7.G.4uk-nc-2013:KS3.Maths.Geo.2