# Finding area between two curves Polar Coordinates

1. Sep 7, 2013

### PsychonautQQ

1. The problem statement, all variables and given/known data
Find the area inside the circle r = 3sinθ and outside the carotid r = 1 + sinθ

3. The attempt at a solution
Alright so I graphed it and found that they intersect at ∏/6 and 5∏/6.
I can't think of a good way to approach the problem. The carotid has some of it's area beneath the x-axis otherwise I would take the area of the 3sinθ - the area of the other one. Will it work if set the limits of integration to pi/6 and 5pi/6 and take the integral of (3sinθ - (1+sinθ)? I'm a bit lost

2. Sep 8, 2013

### Zondrina

Yes, that all seems reasonable. Just compute your integral and you're done.

3. Sep 8, 2013

### PsychonautQQ

I got 1.369705. Is there any online integral doer I can use to check my work?

4. Sep 8, 2013

### Zondrina

Yes, that's the correct answer. Wolfram alpha is good for checking your work afterwards.

5. Sep 8, 2013

### LCKurtz

NO. That's the wrong integrand. Look up the formula for polar area.