In the standard \((x,y)\) coordinate plane, a circle with its center at \((8,5)\) and a radius of \(9\) coordinate units has which of the following equations?

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The equation of a circle in standard form with center \((h,k)\) and radius \(r\):

$$ (x-h)^2+(y-k)^2 = r^2 $$ $$ (x-8)^2+(y-5)^2=9^2 $$ $$ = \boxed{ (x-8)^2+(y-5)^2=81} $$