Two parameterizations of the circle. Consider the circle of radius R in the x, y plane.
(a)Use the angle counter clockwise from the x axis to parameterize this circle.
(b)Now think of the circle like the head of the minute hand of a clock. Let (x, y) = (0,R) correspond to zero minutes and let the parameterτ= 60 min. Parameterize this circle using time, t measured in minutes. Remember that the minute hand goes clockwise - which is to increasingxfrom the start.