# Thread: find length of curve

1. ## find length of curve

find the length of the curve r = (theta)^2 ... 0<= theta <= 2pi

just wanted the equations or formulas involved in this equation please. also, i believe i use will take an integral for this equation.

thankyou.

2. Originally Posted by rcmango
find the length of the curve r = (theta)^2 ... 0<= theta <= 2pi

just wanted the equations or formulas involved in this equation please. also, i believe i use will take an integral for this equation.

thankyou.
$S = \int_{\theta_1}^{\theta_2} \sqrt{r^2 + \left(\frac{dr}{d\theta}\right)^2} \, d\theta$