Answer
The period of $\sin{x}$ is $4\pi$
Work Step by Step
The given graph shows the function:
$y=\sin{\frac{x}{2}}$
As shown in the graph, the period of the graph is:
$2\pi$
To evaluate the period of $\sin{x}$, we note that $\sin{x}$ is stretched by 2. Thus, the new period is:
$\sin{x}=2\pi\times2=4\pi$
