Question

Use Green’s theorem to compute the area of the teardrop region enclosed by the curve c(t)=( 2cos(t)-2sin(t), 3sin(t) ), 0<=t<=2pi

Answer 1

I got 12pi is this correct??? PLEASE SOMEONE HELP :-)

Answer 2

By just looking at the picture, the area is less than 12 pi.
I got it myself to be equal to 6 pi

Answer 3

According to the formula given at the end of http://www.maa.org/pubs/Calc_articles/ma063.pdf, the answer is 6pi, since a=1 and b=3.