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equation of a circle

With center at

$(h, k)$ :

${(x - h)}^{2} + {(y - k)}^{2} = r^{2}$ .

With center at

$(0, 0)$ :

$x^{2} + y^{2} = r^{2}$ .

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$