The polar equation is
.
If the point
has Cartesian coordinates
and polar coordinates
, then
and
.
Convert the polar equation into rectangular form.
\Substitute
and
in
.



Substitute
.



To change the expression into a perfect square trinomial add (half the
coefficient)² to each side of the expression.


The equation is in the form of standard form of circle equation
, where
is the center of the circle and
is the radius of the circle.
The circle equation is
.
The center of the circle is
and radius is
.
The circle equation is
.
The center of the circle is
and radius is
.