Key Polar Graphs General Limacon

What type of graph is shown?

Limacon

r=a±bcos(θ) a>b: a + b is?

a+b: the distance from the pole on polar axis (a+b, 0°)

r=a±bcos(θ) a>b: a - b is?

a-b: the distance from the pole on polar axis (a-b, 180°)

r=a±bcos(θ): + ?

majority over + polar axis

r=a±bcos(θ): - ?

majority over - polar axis?

r=a±bcos(θ): a ?

distance from pole on y-axis: (a, 90°); (a, 270°)

r=a±bsin(θ): a>b: a + b is?

a+b: distance from pole on y-axis (a+b, 90°)

r=a±bsin(θ) a>b: a - b is?

a-b: distance from pole on y-axis (a-b, 270°)

r=a±bsin(θ): + ?

majority over + y-axis

r=a±bsin(θ): - ?

majority over - y-axis

r=a±bcos(θ): a ?

distance from pole on polar axis (a,0°); (a,180°)

What is the difference between the General Limacon, Limacon with an Inner Loop, and Cardioid?

General Limacon: a>b; Limacon with inner Loop: a<b; Cardioid:a=b