Answer:
14 inches.
Step-by-step explanation:
We have been given that Leslie buys a large Circular pizza that is divided into eight equal slices.
[tex]\text{Circumference of circle}=2\pi r[/tex]
Since the given pizza is divided into 8 equal parts, so circumference of one part will be:
[tex]\text{Circumference of one part of pizza}=\frac{2\pi r}{8}[/tex]
[tex]\text{Circumference of one part of pizza}=\frac{\pi r}{4}[/tex]
We have been given that Leslie measures along the outer edge of the cross from one piece to be 5.5 inches.
[tex]5.5=\frac{\pi r}{4}[/tex]
[tex]5.5*4=\frac{\pi r}{4}*4[/tex]
[tex]22=\pi r[/tex]
[tex]\frac{22}{\pi}=\frac{\pi r}{\pi}[/tex]
[tex]7.006369=r[/tex]
[tex]r\approx 7[/tex]
Since diameter is 2 times the radius, so diameter of pizza would be [tex]7\times 2=14[/tex]
Therefore, the diameter of pizza is 14 inches.
