Use Green's Theorem to evaluate $o{\displaystyle \underset{C}{\overset{\phantom{}}{}}}$vec$(F)*dvec(r),$ where vec$(F)(x,y)=($:$9y-9,8x-5$:$)$ and $C$ is the circle given by $x^2+y^2=25$ oriented counterclockwise.

$($a$)$ Convert the given integral to a double integral in polar coordinates using Green's Theorem.

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