Step 1 :

The polar equation is .

Squaring on each side.

.

Substitute in above equation.

.

The equation in rectangular coordinates is .

Step 2 :

Identify a conic :

The curve is .

If , then the curve is a parabola.

If , then the curve is an ellipse(or)a circle.

If , then the curve a hyperbola.

The curve is .

Compare the curve with .

.

.

Since , curve is an ellipse(or)a circle.

The curve represents a circle with radius 4 and a center at (0, 0).

Step 3 :

The equation is .

.

Compare the equation with the standard form of circle : .

Center  and radius .

Step 4 :

Center at (0, 0) and radius is 4.

Plot the points :

Up :

Down : 

Left : , and

Right : .

Step 5 :

1. Draw the co-ordinate plane.

2. Plot the center at (0, 0).

3. Plot 4 points " radius away from the center in the up, down, left and right direction.

4. Sketch the circle.

Graph of the circle is :

The center of the circle is (0, 0) and the radius is 5.

Graph of the circle  is :