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.

Thanks.