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Find the center and the radius of the circle. (x-7)² + (y+4)²=74

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The equation of a circle with center C(h,k) and radius r is given as:


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

In this case we have the equation:


(x-7)^2+(y+4)^2=r^2

Comparing with the equation of the circle we have:


\begin{gathered} h=7 \\ k=-4 \\ r^2=74 \end{gathered}

Therefore, the center of the circle is (7,-4) and the radius is √74

User PJRobot
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