Consider the polar equation r$=2$sinr$=2$sin which describes a circle.

Part $1$: Cartesian Equation

What is the equivalent Cartesian $($rectangular$)$ equation for this circle?

Cartesian equation:

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$=0=0.$

Note

xxyyy$=$x$2+1$y$=$x$2+1$y$$x$21=0$y$$x$21=0$y$$x$21$y$$x$21$

Part $2$: Radius and Center

The circle has radius $==$

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and is centered at $($x$,$y$)=$