Question

evaluate the arc length of the curve corresponding to the following parametric equations :

x(t) = 4 sin (4t)
y(t)=4cos (4t)

and it's the full circle which is from 0 to 2pi

my solution :

32pi , is it correct ?

Answer 1

depends

Answer 2

from \(0\) to \(2\pi\) is more that a circle
it goes around the circle 4 times

Answer 3

i guess on rotation will give you \(8\pi\) so four will give you \(32\pi\)
looks good in that case

Answer 4

Thanks man.