Saturday, August 23, 2014

Equation of a circle in non-factored form

This can be done by completing the square in x and y. The formulas for this can be obtained from http://www.analyzemath.com/Calculators/Cen_Rad_Cal.html


For equation
x 2 + y 2 + a x + b y = c

 the center has coordinates (-a/2 , -b/2) and radius r such that r 2 = c + (a/2) 2 + (b/2) 2

    Completing the square to write equation in standard form of a circle


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