Determine the parametric equation of the path of a particle that travels the cir

Question

Determine the parametric equation of the path of a particle that travels the circle: (x - 1)2 + (y - 4) = 16 on a time interval of 0 t 2n: if the particle makes one full circle starting at the point (5,4) travelling counterclockwise x(t) = 1 + 4*cos(t) y(t) = 4 + 4*sin(t) if the particle makes one full circle starting at point (0,8) travelling clockwise x(t) = y(t) = if the particle makes one half of a circle starting at point (5,4)travelling clockwise x(t) = 1 + 4*cos(t/2) y(t) = 4 - 4*sin(t/2).

Explanation / Answer

no.since they are moving clockwise.so it becomes x=1+4cos(pi/2+t)=1-4sint.similarly for y y=4+4sin(pi/2+t) =4+4cost

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