# Write the equation of a circle given the center and

Write the equation of a circle given the center and radius. center: (-4, -2); radius = 9
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Symbee
Use the standard equation of the circle given by:
${\left(x-h\right)}^{2}+{\left(y-k\right)}^{2}={r}^{2}$
where (h,k) is the center and r is the radius.
Substitute h=-4, k=-2, and r=9:
${\left(x-\left(-4\right)\right)}^{2}+{\left(y-\left(-2\right)\right)}^{2}={9}^{2}$
${\left(x+4\right)}^{2}+{\left(y+2\right)}^{2}=81$
Result:
${\left(x+4\right)}^{2}+{\left(y+2\right)}^{2}=81$