9. Polar Equations

Which of the following best describes the graph of the polar equation $r=2-2\cdot \sin \left(\theta \right)$?

Identify whether the given equation is that of a cardioid, limaçon, rose, or lemniscate.

$r=4\(\sin\)2\(\theta\)$

Given the limaçon $r=1+2\cos \left(\theta \right)$, find the area that lies inside the larger loop and outside the smaller loop.

Which of the following best describes the graph of the polar equation $r=1+\cos (25\theta )$?

Which of the following best describes the graph of the polar curve $r=4\cos \left(3\theta \right)$?