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A-levelCoordinate geometry

Circles

Circle equations, tangents, normals, chords, and intersections.

2 lessons77 worksheets162 questions

Lessons

These free MathLab Learn guides are arranged in the order they are most useful for this stage.

  1. 01Circle geometry and circle theorems
  2. 02Circles in coordinate geometry

Practise

Practice moves from direct fluency towards application, reasoning and synthesis.

  1. IntroPractice

    Circle equations, centres and radii

    Step 1 · 24 worksheets · 69 questions

  2. Practice

    Chords, distances and circle geometry

    Step 2 · 16 worksheets · 16 questions

  3. Practice

    Circle intersections

    Step 3 · 6 worksheets · 11 questions

  4. Practice

    Tangents to circles

    Step 4 · 15 worksheets · 15 questions

  5. PracticeChallenge

    Normals and tangent-normal relationships

    Step 5 · 4 worksheets · 8 questions

  6. Challenge

    Combined tangent geometry and parameter problems

    Step 6 · 9 worksheets · 12 questions

  7. Challenge

    Mixed circle problems

    Step 7 · 3 worksheets · 31 questions

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