# Area bounded by polar curves

#### itzela

I am having trouble finding the area between 2 polar curves..... I have the procedure down, but the bounds are throwing me off. Any help with understanding how to bound would be great appreciated!

I have attatched one problem that I am having hard time with and the work I have done. I know that I am doing something wrong because I am getting a negative number for an area (which shouldn't be).

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#### qbert

At Pi/2 your lower limit changes to 0. (Otherwise
you're integrating from the bottom half of the circle
up to the 1 + cos(theta) curve.)

Last edited:

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#### itzela

Thanks a bunch guys =)

What I did was:

1. found the area from $\pi$ to $\pi/3$ for the graph of $1+cos(\theta)$ -- doubled it

2. found the area from $\pi/3$ to $\pi/2$ for the graph $3cos(\theta)$ -- doubled it

3. Substracted the value i got in #2 from #1... and that was my answer.

... Does it sound on the right path?

Yup, that works.

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