B)
Given data:
The given lenght is HY= 46 in.
The given center angle is m(YX)=75 degrees.
The length of arc is,
[tex]\begin{gathered} L=\frac{75^{\circ}}{360^{\circ}}(2\pi)(46in\text{)} \\ =60.21\text{ in} \end{gathered}[/tex]
Thus, the length of arc is 60.21 inches.
