This seems to be a problem of arc length. Let me show you ...
In this case, the minute hand goes from 0 to 15min, so theta would be 90°
We are told that the length of the minute hand is 3.6 cm = r
Thus, S which is the distance that the tip of the minute hand travels, is...
![\begin{gathered} S=2\pi r\cdot(\theta)/(360) \\ S=2\cdot\pi\cdot(3.6)\cdot(90)/(360) \\ S=(9)/(5)\pi \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/acew1y6qbr3wdvmlxbzdemlmylf8u2n39t.png)
S is approximately 5.65 cm