3. (A heart with a hole in the center) can be described by polar equations. In partic- ular, consider the cardioid r = 3 + 3 sin 0 and a circle r = 2 sin 0 Figure 2: plot of the circle and the cardioid (a) 7 points Find the area of the Cardioid. (b) 3 points Find the area of the broken heart, that is, the region outside the circle and inside the cardioid