Families of Polar Curves: Circles, Cardiods, and Limacon - Concept

Concept Concept (1)

Recognizing certain special polar curves can help us graph them or derive their equations. Circles, cardioids and limacon are all from the same family of polar curves. Other families include roses and conic sections. Students should understand and memorize the equations for these families of polar curves and their special cases.

Sample Sample Problems (3)

Need help with "Families of Polar Curves: Circles, Cardiods, and Limacon" problems? Watch expert teachers solve similar problems to develop your skills.

Families of Polar Curves: Circles, Cardiods, and Limacon - Problem 1
Problem 1
How to graph the special case of the family r = a + b*cos(theta) when a = b.
Families of Polar Curves: Circles, Cardiods, and Limacon - Problem 2
Problem 2
How to graph members of the polar family r = a + b*cos(theta) when a > b > 0.
Families of Polar Curves: Circles, Cardiods, and Limacon - Problem 3
Problem 3
How to graph members of the polar family r = a + b*cos(theta) when 0 < a < b.