An architect is designing a custom semicircular stained-glass window with center $C$ and a diameter $PCQ$ of length $16m$. To reinforce the structure, a horizontal metal support beam $ST$ is placed parallel to the diameter $PCQ$, such that the endpoints $S$ and $T$ lie on the semicircular arc. The design specifies that the angle $TCQ$ is $0.45$ radians. A specific segment of tinted glass, labeled $W$, is bounded by the beam $ST$ and the minor arc $ST$.