What is the equation of the circle with a center at $(-1 ,-1 )$ and a radius of $2$ ?

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How do you write the general form given a circle that passes through the given points. P(-2, 0),...
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Answer 1 · 2016-03-01T15:05:51

$x^2+y^2+2x+2y-2=0$

As the points on the circle will be all at a distance of $2$ from center at $(-1,-1)$ , the equation will be

$(x-(-1))^2+(y-(-1))^2=2^2$ or

$(x+1)^2+(y+1)^2=4$ or

$x^2+2x+1+y^2+2y+1=4$ or

$x^2+y^2+2x+2y-2=0$

What is the equation of the circle with a center at (-1 ,-1 )(-1 ,-1 ) and a radius of 2 2 ?