Step 1:
The length of a polar curve $r=f(\theta)$ from $\theta=a$ to $\theta=b$ is given by the formula:
\[L=\int_{a}^{b}\sqrt{r^{2}+(\frac{dr}{d\theta})^{2}}d\theta\]
In this case, $r=4\sin^{2}\frac{\theta}{2}$, so we first need to find $\frac{dr}{d\theta}$.
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