What is the equation of the circle with a center at (-8 ,3 ) and a radius of 1 ?

1 Answer
Alan P.
Feb 19, 2016

(x+8)^2+(y-3)^2=1

Explanation:

The standard equation for a circle with center (a,b) and radius r is
color(white)("XXX")(x-a)^2+(y-b)^2=r^2

Using the given values results in the equation given in the "Answer"
(and this would be my preferred form)

...but,
you might have a teacher who wants this in "general polynomial standard form";
in this case you need to expand the terms, arrange them in descending order of degree with the polynomial equated to 0:
color(white)("XXX")x^2+y^2+16x-6y+72=0

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