9. Polar Equations

Plot the point $(3,\(\frac{\pi}{2}\))$ & find another set of coordinates, $(r,θ)$, for this point, where:

(A) $r≥0,2π≤θ≤4π$,

(B) $r≥0,-2π≤θ≤0$,

(C) $r≤0,0≤θ≤2π$.

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?

Plot the point on the polar coordinate system.

$(5,210°)$

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?