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==Off-center Circle== In what follows, it will be useful to recall the algebraic expression that defines a circle whose center is not positioned at the origin of a Cartesian coordinate system. Specifically, consider a circle of radius, <math>~r_c</math>, whose center is located a distance <math>~x_0</math> along the plus-x axis and a distance <math>~y_0</math> along the plus-y axis. The equation for this circle is, <div align="center"> <math> ~(x-x_0)^2 + (y-y_0)^2 = r_c^2 . </math> </div>
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