GRAPHING POLAR CURVES r IS EQUAL TO CONSTANT

The graph of the polar equation r = a on the Cartesian plane is a circle centered at the origin of radius |a|

The graph of the polar equation θ = angle on the Cartesian plane is a line passes through the origin

If the angle measure is positive, we have to move towards the counter clockwise direction.
If the angle measure is negative, we have to move towards the clock wise direction.

Consider the polar equation. Classify the curve and sketch the graph.

Problem 1 :

r = 5

Solution :

Type of polar graph :

It is a circle with radius of 5 units.

Problem 2 :

r = 6

Solution :

Type of polar graph :

It is a circle with radius of 6 units.

Problem 3 :

r = -6

Solution :

Type of polar graph :

It is a circle with radius of 6 units.

Problem 4 :

θ = 5π/3

Solution :

Since the angle measure is positive, we have to do counter clockwise direction.

Problem 5 :

θ = -11π/6

Solution :

Since the angle measure is positive, we have to do counter clockwise direction.

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