• Choice F

    We know that the equation of circle is

    (xh)2+(yk)2=r2(x-h)^2+(y-k)^2=r^2

    Given that,

    (h,k)=(8,5),r=9(h,k)=(8,5),\quad r=9

    Then by plugging in the values, we have:

    (x8)2+(y5)2=92(x-8)^2+(y-5)^2=9^2
    (x8)2+(y5)2=81(x-8)^2+(y-5)^2=81

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