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What is the equation of a circle with center (2,7) and radius 4?
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\[ p : f(x,y)=(x-2)^2+(y-7)^2=16 \] General \[ f(x,y)=(x-u)^2+(y-v)^2=r^2\] where (u,v) is the center of the circle.
\( \color{Black}{\Rightarrow (x - h)^2 + (y - k)^2 = r^2}\) \((h,k)\) is the center, and \(r\) is the radius.
a circle with centre at (a,b) and radius r has the equation: \[(x-a)^{2}+(y-b)^{2}=r ^{2}\]
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