Find the length of the entire perimeter of the region inside

Question

r = 11 sin (theta) but outside r = 2

Answer 1

Make a plot of the two curves, and see if you find a way to either simplify the answer, or establish a check for your answer. The approach depends on whether you have done line integrals in your course.

Here's a plot, which unfortunately has different scales for x and y. In any case, it gives a very good idea of what you're about to calculate.

http://img515.imageshack.us/img515/2083/1287889718.png

Hint: the red curve with r=2 is a circle.

Answer 2

Here's a plot with proper scaling:

http://img87.imageshack.us/img87/5163/1287889718a.png