Question

Polar area question

Answer 1

I know the formula for taking the area of polar graphs, but I'm not sure how to find the polar area of this one. The answer key says that it's pi/2, but I keep getting 4.712

Answer 2

What were your limits here?

Answer 3

I had done this

\(2\int_{\frac{3\pi}{4}}^{\frac{7\pi}{4}}\left(\frac{1}{2}\left(1+\sin\left(2\theta\right)\right)^{2}\right)d\theta\)

And got the same as you, so I'm not sure

Answer 4

My limits were from 0 to pi/2 I think

Answer 5

FWIW

Answer 6

Thanks for the help guys, I'll just assume that the answer key is wrong.