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.

Respuesta :

Answer:

The diameter of the pizza is 12 inches

Step-by-step 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)=[tex]2\pi r[/tex]

where r is the radius of the circle

circumference of the pizza =38

Thus

[tex]2\pi r= 38[/tex]

[tex]\pi r=\frac{38}{2}[/tex]

[tex]\pi r=19[/tex]

[tex]r=\frac{19}{3.14}[/tex]

r=6.050 inches

Now,

Diameter = [tex]2\times r[/tex]

Diameter = [tex]2\times 6.05[/tex]

Diameter=12.1 inches

Rounding to the nearest tenth

Diameter=12 inches