# Formulas of Arc Length

Some important results and formulas regarding the Arc Length of the curve is listed here:

1.  Arc length for Cartesian curve $y = f\left( x \right)$ is given by

2.  If the parametric form $x = f\left( t \right)$ and $y = g\left( t \right)$is given, then

3.  The arc length if the equation of a curve in polar system i.e., $r = f\left( \theta \right)$ is given by

4.  If the equation of the curve is given by$\theta = f\left( r \right)$, then arc length is given by