Give parameterizations for a circle of radius 2 in the plane, centered at origin, traversed anticlockwise.
A) $x = \cos t , y = \sin t , 0 \leq t \leq 2 \pi$
B) $x = 4 \cos t , y = 4 \sin t , 0 \leq t \leq 2 \pi$
C) $x = 2 \cos t , y = - 2 \sin t , \quad 0 \leq t \leq 2 \pi$
D) $x = 2 \cos t , y = 2 \sin t , 0 \leq t \leq 2 \pi$
E) $x = 2 \cos t , y = 2 \sin t , \quad 0 \leq t \leq \pi$

Question

Quizplus · Accepted Answer

The correct parameterization for a circle of radius 2 centered at the origin and traversed anticlockwise is $x = 2 \cos t , y = 2 \sin t , 0 \leq t \leq 2 \pi$, which scales the unit circle by a factor of 2 to achieve the desired radius.

Give Parameterizations for a Circle of Radius 2 in the Plane