Hi Mellie :)
I am really not convinced Hectictar,
Your angles are correct but I do not think that there is enough info to give the arc lengths.
Your s relates to angles subtended from the centre. The 360 is 360 degrees. It is not related to the length of the circumference.
\(\text{You could say that } arc {PQ}= \dfrac{\pi r} {6}\\ \text{and } \qquad \qquad \qquad arc \;{QR}= \dfrac{2\pi r} {6}\\ \text{and } \qquad \qquad \qquad arc \;{RS}= \dfrac{4\pi r} {6}\\ \text{and } \qquad \qquad \qquad arc \; {SP}= \dfrac{5\pi r} {6}\\ \)
Where r is the radius but I do not see how you can give exact values for these. :/