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

Finding The Area Of The Region Bounded By Two Polar Curves — Quiz

Test your understanding of finding the area of the region bounded by two polar curves with 5 practice questions.

Practice Questions

Question 1

Which formula gives the area between two polar curves on the interval $a\le \theta \le b$?

Question 2

Which formula gives the area enclosed by a single polar curve $r=f(\theta)$ from $\theta=a$ to $\theta=b$?

Question 3

What is the area of the region between the circles $r=3$ and $r=1$?

Question 4

The curves $r=2\sin\theta$ and $r=2\cos\theta$ intersect in the first quadrant at what angle?

Question 5

On the interval $0<\theta<\frac{\pi}{4}$, which curve is outer: $r=2\sin\theta$ or $r=2\cos\theta$?