$\"\"$

Arc length :

The length of a curve with polar equation $\"\"$ is

$\"\"$ .

$\"\"$

The polar equation is $\"\"$ .

Apply derivative on each side with respect to $\"\"$ .

$\"\"$

The exact length of the polar curve is $\"\"$ .

Substitute $\"\"$ and $\"\"$ in above equation.

$\"\"$

The exact length of curve is $\"\"$ .

$\"\"$

The exact length of curve $\"\"$ is $\"\"$ .