For each of the described curves, decide if the curve would be more easily given by a polar or a Cartesian equation. Then write an equation for the curve:
1. A circle with radius 5 and center (2,3).
2. A circle centered at the origin with radius 4.
A length of curve problem:
Find the length of the curve x = 3cos(t) - cos(3t), y = 3sin(t) - sin(3t) for
0 <= t <= pi.