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
.