Support · Stage 5 · Circle geometry (Path)

Support Apply chord and angle properties of circles to find unknown angles and lengths in diagrams

Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.

Prerequisite links are draft mappings generated from the syllabus structure (earlier stage, same strand, closest content). They are being reviewed by teachers. Spot a poor match? Tell us.

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Prerequisite dot points

Identify and describe the relationship between circle features, including the radius, diameter, arc, chord, sector and segment of a circle, and a tangent to a circle

Stage 4 · Length Draft mapping

  • Interactive toolEnrichment
    Mathigon: Circles and Pi
    Mathigon (Amplify) · Interactive (browser) · Free · Link checked 2026-10-15 · Hands-on, No prep
    Use it for: Discover π and circle area interactively.
  • Interactive toolStarter
    Maths Is Fun: Circle
    Maths Is Fun · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
    Use it for: Parts of a circle and circumference.
  • Corbettmaths practice questions: Circles: parts
    Corbettmaths · Web page · Free · Link checked 2026-10-15 · Answers included, No prep, Printable
    Use it for: Free printable graded practice questions (with answers) on circles: parts for drill or a quick check.
  • VideoStarter
    Corbettmaths video: Circles: parts
    Corbettmaths · Video · Free · Link checked 2026-10-15 · No prep
    Use it for: Short worked-example video on circles: parts to model the method before practice or for flipped revision.

Verify that the number π is a constant and develop the formula for the circumference of a circle

Stage 4 · Length Draft mapping

  • Interactive toolEnrichment
    Mathigon: Circles and Pi
    Mathigon (Amplify) · Interactive (browser) · Free · Link checked 2026-10-15 · Hands-on, No prep
    Use it for: Discover π and circle area interactively.

Apply the formula for the circumference of a circle in terms of the diameter d or radius r (circumference of a circle = πd or 2πr) to solve related problems

Stage 4 · Length Draft mapping

  • Interactive toolStarter
    Maths Is Fun: Circle
    Maths Is Fun · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
    Use it for: Parts of a circle and circumference.
  • Corbettmaths practice questions: Circles: circumference
    Corbettmaths · Web page · Free · Link checked 2026-10-15 · Answers included, No prep, Printable
    Use it for: Free printable graded practice questions (with answers) on circles: circumference for drill or a quick check.
  • WorksheetDrill
    Kuta free worksheet: Area and circumference of circles
    Kuta Software · PDF · Printable PDF · Free · Link checked 2026-10-15 · Answers included, No prep, Printable
    Use it for: Printable skills-practice sheet with answer key on area and circumference of circles; good for drill or homework.
  • WorksheetDrill
    Kuta free worksheet: Circumference and area of circles
    Kuta Software · PDF · Printable PDF · Free · Link checked 2026-10-15 · Answers included, No prep, Printable
    Use it for: Printable skills-practice sheet with answer key on circumference and area of circles; good for drill or homework.
  • VideoStarter
    Corbettmaths video: Circles: circumference
    Corbettmaths · Video · Free · Link checked 2026-10-15 · No prep
    Use it for: Short worked-example video on circles: circumference to model the method before practice or for flipped revision.