Question

Leslie buys a large Circular pizza that is divided into eight equal slices. She measures along the outer edge of the cross from one piece and find it to be 5.5 inches. What is the diameter of the pizza to the nearest inch?

Answer 1

The diameter of the pizza is 14inches, I hope I helped (:

Answer 2

14 inches.

Explanation:

We have been given that Leslie buys a large Circular pizza that is divided into eight equal slices.

`\text{Circumference of circle}=2\pi r`

Since the given pizza is divided into 8 equal parts, so circumference of one part will be:

`\text{Circumference of one part of pizza}=(2\pi r)/(8)`

`\text{Circumference of one part of pizza}=(\pi r)/(4)`

We have been given that Leslie measures along the outer edge of the cross from one piece to be 5.5 inches.

`5.5=(\pi r)/(4)`

`5.5*4=(\pi r)/(4)*4`

`22=\pi r`

`(22)/(\pi)=(\pi r)/(\pi)`

`7.006369=r`

`r\approx 7`

Since diameter is 2 times the radius, so diameter of pizza would be
`7* 2=14`

Therefore, the diameter of pizza is 14 inches.