Length of a Polar Curve

Spider Man shoots spider webs like the one pictured above, but the number of lines radiating out of the center of the spider web can vary. Let's say the number of these lines, which divide the web into pieces of equal area, is denoted by the number $n,$ and so each ring is split into $n$ pieces of equal arc length. Let's look at the outermost ring. If each miniature arc is a rotation of a $\frac{2\pi}{n}$-radian piece of a circumference of a circle of radius $1,$ what is the total length of all the miniature arcs in the outermost ring?