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

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Answer 1 · 2018-05-29T13:08:45

$color(blue)((x+1)^2+(y+1)^2=64)$

The general equation of a circle is given as:

$(x-h)^2+(y-k)^2=r^2$

Where $bbh$ and $bbk$ are the $bbx$ and $bby$ coordinates respectively of the centre, and $bbr$ is the radius.

We have:

$h=-1$

$k=-1$

$r=8$

Plugging in these values

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

$=>(x+1)^2+(y+1)^2=64$

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