What is the name of the shape graphed by the function r=1+3sinθ?
2 Answers
May 13, 2017
It is called a Limacon, French for snail.
Explanation:
Limacons were studied by Pascal.
May 13, 2017
Limaçon
Explanation:
Consider the following shapes for polar graphs:
Cardiod:
r=a±bcosθ andr=a±bsinθ
wherea=b Limaçon:
r=a±bcosθ andr=a±bsinθ
wherea≠b Rose Curve:
r=acos(nθ) andr=asin(nθ)
ifn is odd, thenn petals
ifn is event, then2n petalsLemniscate
r2=a2cos(2θ) andr2=a2sin(2θ)
Based on this list, we can determine that the given polar equation is a Limaçon