9. Parametric Equations, Polar Coordinates, and Vector-Valued Functions

Finding The Area Of A Polar Region Or The Area Bounded By A Single Polar Curve — Quiz

Test your understanding of finding the area of a polar region or the area bounded by a single polar curve with 5 practice questions.

Practice Questions

Question 1

What is the polar area formula for a region traced by a curve $r=f(\theta)$ from $\theta=a$ to $\theta=b$?

Question 2

Find the area enclosed by $r=2$.

Question 3

Which interval of $\theta$ traces the region inside the polar curve $r=3\cos\theta$ once?

Question 4

Find the area enclosed by $r=2\sin\theta$ for $0\le \theta\le \pi$.

Question 5

What is the area inside one petal of the rose $r=\sin(2\theta)$?