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Circles on the Cartesian plane
Recognise and sketch circles with equation x² + y² = r², and find the centre, radius and points on the circle.
⏱ 17 min❓ 10 questions
What you'll be able to do
- ✔I can explain why x² + y² = r² describes a circle centred at the origin
- ✔I can state the radius and intercepts of a circle from its equation, including surd radii
- ✔I can test whether a point lies on, inside or outside a circle
How this works
- 1Read the short explanations first — they teach you what you need before each question.
- 2Answer each question, then tap Check. A right answer moves you on automatically; if it's wrong, you'll see a friendly explanation of why.
- 3Finish all 3 steps to see your score — sign in and subscribe to unlock the full lesson and save it.
What's inside
10 questions and 1 quick teaching card, including:
- 🔢Number answer — Work out the answer and type the number.
- 🔘Multiple choice — Tap the answer you think is best, then check it.
👪Grown-up tip: sit alongside younger learners for the first few lessons. Read the questions together and chat about the explanations — that's where the real learning sticks.
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Curriculum: AC9M10A05