Answer
The statement makes sense.
Work Step by Step
One full revolution of a circle is given by $2\pi $ or $360{}^\circ $.
Thus,
$\begin{align}
& 2\pi =360{}^\circ \\
& \pi =180{}^\circ \\
& \frac{\pi }{180{}^\circ }=1
\end{align}$
If an angle in degrees is converted into radians, it is multiplied by $\frac{\pi }{180{}^\circ }$ because the value of $\frac{\pi }{180{}^\circ }$ is equal to $1$. So it does not change its value but converts it into radians.
