What you need to know
Check yourself against these “I can” statements.
- I can explain why (x − a)² + (y − b)² = r² is a circle with centre (a, b) and radius r (Further Maths)
- I can write the equation of a circle from its centre and radius (Further Maths)
Practise this topic
4 resourcesCircle Geometry (AQA Level 2 Further Maths)
The equation of a circle for AQA Level 2 Further Maths, with GCSE-friendly numbers: centre, radius and equation; completing the square; the equation from a diameter or a centre and a point; points inside, on or outside and the…
⚙️ WorksheetEquation of a Circle: Fill in the Blanks
A table of circles: each row gives the expanded equation, the (x − a)² + (y − b)² = r² form, or the centre and radius; fill in the rest. Surd radii, rearranged equations and non-circles on higher levels.
⬢ BlockbustersCircle Geometry (AQA Level 2 Further Maths) Blockbusters
Blockbusters with the questions from the Circle Geometry (AQA Level 2 Further Maths) worksheet: choose its levels for the ordinary hexagons and for the harder ★ ones. Show the answer and the worked solution, or play against the…
🔗 MatchingTypes of Graph: Matching
Match each equation to its graph: straight lines, horizontal and vertical lines, quadratics, cubics, quartics, reciprocals, exponentials, circles and trig graphs. KS3, GCSE and A Level buttons pick the types and level, and the…
These are the pages for The equation of a circle in the GCSE + AQA Level 2 Further Maths scheme of work, following Pearson Edexcel GCSE (9–1) Higher (1MA1), plus AQA Level 2 Further Mathematics (8365). Open this topic in Mr Wells Maths to see it alongside the rest of the course.