Determine the parametric equations of the path of a particle

Determine the parametric equations of the path of a particle that travels the circle: (x - 2)2 + (y - 3)2 = 49 on a time interval of 0 t 2n: If the particle makes one full circle starting at the point (9, 3) travelling counterclockwise x(t) = y(t) = If the particle makes one full circle starting at the point (9, 3) travelling clockwise x(t) = y(t) =

Solution

a) x=2+7cost y=3+7sint b) x=2+7cos(t+pi/2) y=3+7sin(t+pi/2) c) same as a with t as -t