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^{2}g/cm

I get that you have to parametrize the circular peace, giving you C(t) =(4cost, 4sint) but how do you get the bounds for t?

The solution states that it is -[tex]\pi[/tex]<=t<=[tex]\pi[/tex] but how?

Also, it's actually been a while since my class spoke on line integrals and I realized now that I have great difficulty parameterizing shapes and curves that gives me problems further on in Calc 3. Are there parametrization I should automatically know? For example how does a wire in the shape of a parabola y = x

^{2}parameterize to C(t) = (t, t^2) ?