# Thread: Arc lenghth of parametric curves

1. ## Arc lenghth of parametric curves

This is from my Calc 2 lab on Arc length I attached a picture of the parametric curve that we are using. I am not sure how to calculate the corresponding approximations can anyone help me out?
Question:
Plot a picture like the one produced by the applet making sure
you label all relevant points. Calculate the corresponding approximations by hand (showing your
work).
Thanks
AC

2. Arc length is

$\int_{a}^{b} \sqrt{\parallel r'(t) \parallel }=\int_{a}^{b} \sqrt{(\frac{dx}{dt})^{2}+(\frac{dy}{dt})^{2}}$