$\"\"$

\

The rectangular equation is $\"\"$ .

\

Rewrite the equation as $\"\"$ .

\

The rectangular equation is in the form of standard form of circle equation $\"\"$ , where $\"\"$ is the center of the circle and $\"\"$ is the radius.

\

Here, $\"\"$ and $\"\"$ .

\

The graph of $\"\"$ is a circle with center $\"\"$ and radius $\"\"$ .

\

$\"\"$

\

Convert the rectangular equation into polar equation.

\

Substitute $\"\"$ and $\"\"$ in $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

The polar equation is $\"\"$ .

\

$\"\"$

\

Graph the polar equation: $\"\"$ .

\

Graph:

\

$\"\"$

\

Observe the graph:

\

The graph is similar to the graph of $\"\"$ is a circle with center $\"\"$ and radius $\"\"$ .

\

$\"\"$

\

The graph of $\"\"$ is a circle with center $\"\"$ and radius $\"\"$ .

\

The polar equation is $\"\"$ .

\

Graph of the polar equation: $\"\"$ .

\

Graph:

\

$\"\"$