1. Further Pure 1

Polar Coordinates — Quiz

Test your understanding of polar coordinates with 5 practice questions.

Practice Questions

Question 1

Given a point in polar coordinates $(r, \theta)$, which of the following expressions correctly represents its Cartesian coordinates $(x, y)$?

Question 2

A point is given in polar coordinates as $(4, \frac{\pi}{6})$. What are its equivalent Cartesian coordinates $(x, y)$?

Question 3

Which of the following polar equations represents a circle with its center on the y-axis and passing through the origin?

Question 4

What is the Cartesian equation equivalent to the polar equation $r = 2\sin\theta$?

Question 5

The area enclosed by a polar curve $r = f(\theta)$ from $\theta = \alpha$ to $\theta = \beta$ is given by which of the following formulas?