Support · Mathematics Advanced 11–12 – Year 11 · Working with functions
Support Derive the equation of a circle of radius r with centre at the origin by considering Pythagoras’ theorem
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.
Prerequisite dot points
Identify and describe equations that represent circles with centre at the origin and radius of the circle r
Stage 5 · Non-linear relationships C (Path) Draft mapping
- Corbettmaths practice questions: Algebra: equation of a circleUse it for: Free printable graded practice questions (with answers) on algebra: equation of a circle for drill or a quick check.
- VideoStarterCorbettmaths video: Algebra: equation of a circleUse it for: Short worked-example video on algebra: equation of a circle to model the method before practice or for flipped revision.
Derive the equation of a circle x² + y² = r² with centre (0,0) and radius r using the distance formula
Stage 5 · Non-linear relationships C (Path) Draft mapping
- Interactive toolStarterMaths Is Fun: Equation of a circleUse it for: Derives x² + y² = r² from Pythagoras, with an interactive.
- Corbettmaths practice questions: Algebra: equation of a circleUse it for: Free printable graded practice questions (with answers) on algebra: equation of a circle for drill or a quick check.
- VideoStarterCorbettmaths video: Algebra: equation of a circleUse it for: Short worked-example video on algebra: equation of a circle to model the method before practice or for flipped revision.
Establish the equation of the circle with centre (a,b) and radius r, and graph equations of the form (x - a)² + (y - b)² = r²
Stage 5 · Non-linear relationships C (Path) Draft mapping
- Interactive toolStarterMaths Is Fun: Equation of a circleUse it for: Derives x² + y² = r² from Pythagoras, with an interactive.
- WorksheetDrillKuta free worksheet: Equations of circlesUse it for: Printable skills-practice sheet with answer key on equations of circles; good for drill or homework.