Question

The circumference of a pizza is about 38 inches. What is the diameter of the pizza? Round to the nearest tenth if necessary

Choices
6 in.

12.1 in.

12.7 in.

24.2 in.

Answer 1

The diameter of the pizza is 12 inches

Explanation:

Given:

Circumference of a pizza = 38 inches

To Find:

The Diameter of the pizza =?

Solution:

Circumference:

The distance around the edge of a circle (or any curvy shape). It is a type of perimeter.

We know that the shape of the pizza is circle.

So the given circumference is circumference of a circle.

Now,

Circumference of the circle(pizza)=
`2\pi r`

where r is the radius of the circle

circumference of the pizza =38

Thus

`2\pi r= 38`

`\pi r=(38)/(2)`

`\pi r=19`

`r=(19)/(3.14)`

r=6.050 inches

Now,

Diameter =
`2* r`

Diameter =
`2* 6.05`

Diameter=12.1 inches

Rounding to the nearest tenth

Diameter=12 inches