What is a quadrifolium?

1 Answer
Shreyans Bhansali
Sep 29, 2014

A quadrifolium is a rose curve with n=2, and a polar equation of
# r = a sin (2theta) #

For # a = 1 #, the graph looks like this:

desmos.com

An interesting fact about a quadrifolium is that if you were to draw a circle around the rose curve, the area inside the rose curve would be exactly half the area of the entire circle, # 1/2 pi a^2 #

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