Thread: Area between two polar curves

I am having difficulty finding the area between these two curves:

and

I setup the integral like this:



I multiply the answer of the integral by 16 for the 16 parts of the graph but I cannot arrive at the right answer.
Any help is appreciated of where I am going wrong.

Thanks

Originally Posted by evant8950

I am having difficulty finding the area between these two curves:

and

I setup the integral like this:



I multiply the answer of the integral by 16 for the 16 parts of the graph but I cannot arrive at the right answer.
Any help is appreciated of where I am going wrong.

Thanks

Draw the graphs of each. Although they intersect at the origin, the point with polar coordinates [0, 0] is NOT common to both curves ....

Originally Posted by mr fantastic

Draw the graphs of each. Although they intersect at the origin, the point with polar coordinates [0, 0] is NOT common to both curves ....

When I set them equal I get they intersect at . How do I find the other point of intersection?

Thanks