What is the name of the shape graphed by the function r =1+3 sin theta?
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+-bcostheta andr=a+-bsintheta
wherea=b Limaçon:
r=a+-bcostheta andr=a+-bsintheta
wherea!=b Rose Curve:
r=acos(ntheta) andr=asin(ntheta)
ifn is odd, thenn petals
ifn is event, then2n petalsLemniscate
r^2=a^2cos(2theta) andr^2=a^2sin(2theta)
Based on this list, we can determine that the given polar equation is a Limaçon