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How to find the equation of a circle

How to find the equation of a circle-example-1

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hmmm lemme do the first one only


\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{5}{ h},\stackrel{3}{ k})\qquad \qquad radius=\stackrel{2}{ r} \\\\\\ (x-5)^2+(y-3)^2=2^2\implies (x-5)^2+(y-3)^2=4
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