No.35

Graphing polar equations
Limacons 

, where a and b are NOT equal to 0

• If  the graph of the Limacon has an inner loop!
• If  the graph of the Limacon is "dimpled."
• If the graph of the Limacon is considered "convex."

The graphs of Limacons are generated as the angle increases from 0 to 2.

a.   Limacon with inner loop: 
Note that a = 2 and b = 3 and 

b.   Dimpled Limacon: 

Note that a = 3 and b = 2 and 

c.   Convex Limacon:  .   Note that the graph is not quite circular!

Note that a = 8 and b = 2 and