MA16-11 Maths Coming soon
Recognising the Equation of a Circle
MA16-11
This lesson is coming soon.
In this lesson
Recognise x^2+y^2=r^2 as the equation of a circle centred at the origin, distinguishing it from other graph families it gets mistaken for.
What it covers
- Recognising x^2+y^2=r^2 as the equation of a circle centred at the origin with radius r
- Sketching the circle from its equation, marking the radius and where it crosses both axes
- Distinguishing this equation from the other graph families it is commonly mistaken for (straight line, quadratic, direct proportion)
Key words
For: AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300, OCR GCSE J560
On the specification
| Board | Spec | Statement |
|---|---|---|
| AQA GCSE 8300 | A16 | Recognise and use the equation of a circle with centre at the origin |
| Edexcel GCSE 1MA1 | A16 | Recognise and use the equation of a circle with centre at the origin; find the equation of a tangent to a circle at a given point |
| Eduqas GCSE C300 | HA16 | Recognise and use the equation of a circle with centre at the origin; find the equation of a tangent to a circle at a given point |
| OCR GCSE J560 | 7.01f | Recognise and use the equation of a circle with centre at the origin. |
| OCR GCSE J560 | 7.02b | Identify and find equations of parallel lines. |
For teachers
This GCSE Maths lesson teaches recognising the equation of a circle. By the end, students should be able to recognise x^2+y^2=r^2 as the equation of a circle centred at the origin, distinguishing it from other graph families it gets mistaken for. It works through two worked examples and the mistakes examiners report.