9. Polar Equations

Given the polar equation $r=7\cos \left(\theta \right)$, which of the following is the corresponding Cartesian equation?

Given the point with polar coordinates $(3,\frac{\pi }{4})$, which of the following polar coordinate pairs labels the same point?

Which of the following is a polar equation for the curve represented by the Cartesian equation $x^2+y^2=3$?

Given the point with polar coordinates $(3,\frac{\pi }{4})$, which of the following polar coordinate pairs labels the same point?

Given the polar equation $r=9\cos \left(\theta \right)$, which of the following is its equivalent Cartesian equation?

Which of the following best describes the graph of the polar curve $r=2+5\sin \left(\theta \right)$?

Find the exact length of the polar curve $r=2$ for $0\le \theta \le 2\pi$.

The graph of the polar curve $r=\pi$ is shown above for $0\le \theta \le 3\pi$. What is the area of the shaded region?

Given the polar equation $r=5\cos \left(\theta \right)$, which of the following is its Cartesian equation?

What are the rectangular coordinates of the point whose cylindrical coordinates are $3,120°,5$?

Given the polar equation $r=6$, which of the following is the corresponding Cartesian equation?

Given the point with polar coordinates $(3,\frac{\pi }{4})$, which of the following polar coordinate pairs labels the same point?

Given the point with polar coordinates $(3,\frac{\pi }{4})$, which of the following polar coordinate pairs represents the same point?

Which of the following correctly expresses the conversion from rectangular coordinates $(x,y,z)$ to cylindrical coordinates $(r,\theta ,z)$?

In the polar coordinate system, what is the name for a set of coordinates such as the one indicated with $c$ (for example, $(r,\theta )$)?