Perimeter (including circles)

Calculate perimeters of shapes, including circles and composite shapes, applying formulas for circumference and combining measurements of different shape types.

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Te reo Māori terms

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Learning objective overview

Master Teaching Guide coverage for this objective.

Resources

Terminology

  • perimeter
  • circumference
  • radius
  • diameter
  • pi (π)
  • composite shapes
  • compound shapes

Task goals

  • Calculate the perimeter of polygons with straight edges by summing the lengths of all sides.
  • Understand and apply the relationship between diameter and radius in circles.
  • Calculate the circumference of circles using the formulas C = πd or C = 2πr.
  • Find the perimeter of composite shapes by identifying component shapes and combining their perimeters.
  • Solve problems involving the perimeter of shapes with curved edges (semicircles, quarter circles) combined with straight edges.
  • Apply perimeter calculations to real-world contexts and problem-solving scenarios.

Key skills

  • Calculate perimeter straight edges
  • Calculate circumference
  • Convert between radius and diameter
  • Calculate perimeter composite shapes with curves

Quick stats

  • 81 total questions
  • 3 difficulty levels
  • Answers included