Answer:
[tex]x(t)=-4+11cos t[/tex]
[tex]y(t)=4+11sin t[/tex]
Interval:[0,[tex]2\pi[/tex]]
Step-by-step explanation:
We are given that
Center of circle=(-4,4)
Radius,r=11 units
We have to find the parametric equations of the given curve.
[tex]x(t)=x_1+rcost[/tex]
[tex]y(t)=y_1+rsint[/tex]
Where [tex](x_1,y_1)=[/tex]Center of circle
Using the formula
[tex]x(t)=-4+11cos t[/tex]
[tex]y(t)=4+11sin t[/tex]
Where [tex]0\leq t\leq 2\pi[/tex]
This is required parametric equation of given curve.
