VC2M7M03 Official strand: Measurement

Connect radius, diameter and circumference

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Investigate the constant circle ratio represented by π.

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A circle has radius 3 cm. What is its diameter?

A circle with radius 3 cm. 3 cm
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A circle with radius 3 cm.

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Answer: 6 cm

  1. A diameter is twice the radius.
  2. 2 × 3 = 6 cm.

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Curriculum reference

Victorian Curriculum F–10 Version 2.0

Pi Leo practice scope

Investigate the constant circle ratio represented by π.

Read the official VCAA curriculum description (VC2M7M03)

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Activities to practise beyond the quiz

  • Supported by the guided activity; selecting an MCQ does not demonstrate this action.
  1. VC2M7M03-C01A diameter passes through the centre and has twice the radius. It is a straight-line distance, not the boundary length.
  2. VC2M7M03-C02For any circle, circumference divided by diameter is π. Using 3.14 gives an approximation, so the calculated boundary length is approximate.
  3. VC2M7M03-C03The circumference grows in the same proportion as the diameter. A fixed approximation to π can be used consistently across examples.
  4. VC2M7M03-C04Investigating and describing the relationship between π, circumference, radius and diameter.

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Descriptor-derived subskills

  1. D01
    Connect two radii to one diameterA diameter passes through the centre and has twice the radius. It is a straight-line distance, not the boundary length.
  2. D02
    Use the circle ratioFor any circle, circumference divided by diameter is π. Using 3.14 gives an approximation, so the calculated boundary length is approximate.
  3. D03
    Apply the same relationshipThe circumference grows in the same proportion as the diameter. A fixed approximation to π can be used consistently across examples.
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