Step 1:

The polar curve is $\"\"$ , $\"\"$

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

Here $\"\"$ .

$\"\"$

Differentiate with respect to $\"\"$ on each side.

$\"\"$

Substitute $\"\"$ , $\"\"$ and limits of $\"\"$ in length of the polar curve formula.

$\"\"$

Solution:

Length of the spiraling polar curve $\"\"$ is $\"\"$ .