Equation of a Circle (AQA A-Level Mathematics): Flashcards

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Equation of a Circle
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Eqn of circle at origin, radius rr

x2+y2=r2x^2 + y^2 = r^2

Eqn of circle centre (−a,−b)(-a, -b), radius rr

(x+a)2+(y+b)2=r2(x + a)^2 + (y + b)^2 = r^2

Centre from (x+a)2+(y+b)2=r2(x + a)^2 + (y + b)^2 = r^2

(−a,−b)(-a, -b)

Radius from (x+a)2+(y+b)2=r2(x + a)^2 + (y + b)^2 = r^2

Radius = rr

Method to find centre & radius from general form

Complete the square for xx and yy

General form of circle equation

x2+y2+ax+by+c=0x^2 + y^2 + ax + by + c = 0

How to find radius given centre and point on circle

Use distance formula

Method to find circle-line intersection points

Substitute line eqn into circle eqn

Convert centre-radius form to general form

Expand squared terms and rearrange

Advice for any circle question

Draw a diagram

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Equation of a Straight Line

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Equation of a Straight Line

Circles

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Equation of a Straight Line

Circles

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Equation of a Straight Line

Circles

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