The general form for a limacon is #r=a+bcostheta# or #r=a+bsintheta#. When will a limacon have an inner loop? Trigonometry The Polar System Graphing Basic Polar Equations 1 Answer Binayaka C. Dec 25, 2016 When #a < b# , The limacon will have inner loop. Explanation: When #a < b# , the polar graph will produce limacon with inner loop. Example: #r=2+3 sin theta# will produce inner loop in a limacon. [Ans] Answer link Related questions What are limacons and cardioids? How do you graph basic polar equations? How do you determine the shape of a limaçon from the polar equation? How do you graph #r = 1.5#? How do you graph #\theta = 30^\circ#? What does the graph of #r = \cos \theta# such that #0^\circ \le \theta \le 360^\circ# look like? What is the general form of limacons and cardioids and how do you graph transformations? How do you graph the equation #r = 1 + cos( theta )#? How do you graph #r=3-2costheta#? How do you graph #r=1-cosx#? See all questions in Graphing Basic Polar Equations Impact of this question 3178 views around the world You can reuse this answer Creative Commons License