Finding the Interval of t for Parametric Equations

[kiddopop]

Find parametric equations for the following curve. Find the interval of t-values such that if a particle moves along the curve, it will trace the curve exactly once. curve: (x+2)^2 + (y-1)^2 = 4.

I've found that the parametric equations for this are (-2+2cos(t), 1+2sin(t)) but I don't know how to find the interval of t.

 

[galactus]

It looks like a circle of radius 2 with center at (-2,1). So, t has the interval \(\displaystyle [0, 2\pi]\)