Mathematics A-Level
completing the square for circles
What completing the square for circles means in Mathematics A-Level, as defined for WJEC.
Definition of completing the square for circles
Check what you remember
Read the wording for your board, then hide it and explain completing the square for circles in your own words. Rough notes are fine. This is a self-check, with no mark or grade.
Reference: WJEC
Applied separately on x and y to an expanded form x² + y² + 2gx + 2fy + c = 0 to reach standard circle form.
Topics that use completing the square for circles
Related terms
- angle in a semicircle
- linear modelling
- perpendicular bisector of chord
- point-slope form
- rate of change
- tangents and normals
- centre and radius
- circle equation
Using completing the square for circles in the exam
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