- #1
Bill Foster
- 338
- 0
Homework Statement
I'm trying to set up a couple integrals.
Suppose you have a closed loop and you want to find its area. You don't know what the shape of the loop is. All you know is that the length of the loop is L.
The Attempt at a Solution
These are my integrals. I just need to know if they are set up correctly:
[tex]A=\int_{0}^{2\pi}\int_{0}^{r}f(r,\theta)r dr d\theta[/tex]
[tex]L=\int_{0}^{2\pi}f(r,\theta)r d\theta[/tex]
Where A is the area enclosed in the loop, and L is the length of the loop. And [tex]f(r,\theta)[/tex] is the equation of the line.
Is that correct? (It's been such a log time since I've done this.)
Thanks.