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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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • GM5-4
New NZC (2026)
  • NZC26-P4-MEA-MEA-P-Y9-03
  • NZC26-P4-MEA-MEA-P-Y9-05
  • NZC26-P4-MEA-MEA-K-Y9-07

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.

Where this fits

What leads into this objective, and where it goes next.

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Perimeter (including circles)

Perimeter (including circles)

Do

Finding: the perimeter of 2D shapes; the circumference of circles; the area of parallelograms, trapeziums, and kites, relating the formulae used to the formula for a rectangle

Statement▸
Year 9 · Measurement · Measuring
NZC26-P4-MEA-MEA-P-Y9-03
Do

Calculating the perimeter of half circles and quarter circles

Statement▸
Year 9 · Measurement · Measuring
NZC26-P4-MEA-MEA-P-Y9-05

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