8. Midterm 1 and Change of Variables

Polar Coordinates — Quiz

Test your understanding of polar coordinates with 5 practice questions.

Practice Questions

Question 1

What are the polar coordinates of the Cartesian point $(0,5)$ if $r \ge 0$ and $0 \le \theta < 2\pi$?

Question 2

What are the Cartesian coordinates of the polar point $(2,\pi)$?

Question 3

Which polar equation represents the circle of radius $3$ centered at the origin?

Question 4

What is the polar form of the Cartesian equation $x^2+y^2=16$?

Question 5

What are the polar coordinates of the Cartesian point $(-1,-\sqrt{3})$ if $r>0$ and $0 \le \theta < 2\pi$?