The cake is divided into 8 slices, the arc length of one slice is 7.28 inches.
The circumference of the cake can be determined as,
[tex]\begin{gathered} C=8\times Arc\text{ length} \\ =8\times7.28\text{inches} \\ =58.24\text{ inches} \end{gathered}[/tex]
Thus, the circumference is 58.24 inches.
The diameter can be determined as,
[tex]\begin{gathered} d=\frac{C}{\pi} \\ =\frac{58.24\text{inches}}{\pi} \\ =18.54\text{ inches} \end{gathered}[/tex]
Thus, the diameter is 18.54 inches.
