-1
$\begingroup$

I am completely blanking on this question and I really don't even know where to start.

$\endgroup$

closed as off-topic by Leucippus, Shailesh, JMP, user91500, zhoraster Dec 15 '16 at 6:12

This question appears to be off-topic. The users who voted to close gave this specific reason:

  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – Leucippus, Shailesh, JMP, user91500, zhoraster
If this question can be reworded to fit the rules in the help center, please edit the question.

1
$\begingroup$
  1. What do the curves look like? Sketch!
  2. Where do they intersect?
  3. What do you know about area in polar coordinates?
$\endgroup$
0
$\begingroup$

Solving for the point of intersection of the two curves, we get $$5\sin \theta =5\cos \theta $$ $$\Rightarrow \tan \theta =1$$ $$\Rightarrow \theta =\frac {\pi}{4} \mid \frac {5\pi}{4} $$ where $\mid $ stands for "or".


To calculate the area, we use the formula $$\frac {1}{2}\int_{a}^{b}(r_1^2-r_2^2) d\theta $$ where $a $ and $b$ are the coordinates of intersection.

Now using $r_1 = 5\sin \theta $ and $r_2 = 5\cos \theta $ and $a =\frac {\pi}{4} $ and $B =\frac {5\pi}{4} $, you shall be able to easily calculate your integral.

$\endgroup$

Not the answer you're looking for? Browse other questions tagged or ask your own question.