Key Polar Graphs Limacon with a Inner Loop

What type of graph is shown?

What type of graph is shown?

Cardioid

r=a±bcos(θ) a<b: a+b ?

length of outer loop on polar axis (a+b, 0°)

r=a±bcos(θ) a<b: a-b ?

length of inner loop on polar axis (a-b, 180°)

r=a±bcos(θ) a<b: + ?

majority over + polar axis

r=a±bcos(θ) a<b: - ?

majority over - polar axis

r=a±bcos(θ) a<b: a ?

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

r=a±bsin(θ) a<b: a+b ?

length of outer loop on y-axis (a+b, 90°)

r=a±bsin(θ) a<b: a-b ?

length of inner loop on y-axis (a-b, 270°)

r=a±bsin(θ) a<b: + ?

majority over + y-axis

r=a±bsin(θ) a<b: - ?

majority over - y-axis

r=a±bsin(θ) a<b: 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