Respuesta :

Answer:

[tex]\boxed {\boxed {\sf a \approx 113.0 \ in^2}}[/tex]

Step-by-step explanation:

Assuming this pizza is a circle, we can use this formula for area:

[tex]a= \pi r^2[/tex]

1. Find Radius

We are given the diameter: 12 inches, but the formula uses radius.

The radius is half the diameter, or:

[tex]r=\frac{d}{2}[/tex]

[tex]r=\frac{12 \ in}{2}[/tex]

[tex]r= 6 \ in[/tex]

2. Calculate Area

Substitute the radius (6 inches) in for r. The question also asks us to use 3.14 for pi.

[tex]a= (3.14)(6 \ in)^2[/tex]

Solve the exponent.

  • (6 in)²= 6 in* 6 in= 36 in²

[tex]a= (3.14)(36 \ in^2)[/tex]

Multiply.

[tex]a= 113.04 \ in^2[/tex]

3. Round

The question asks us to round to the nearest tenth.

The 4 in the hundredth place tells us to leave the 0 in the tenth place.

[tex]a \approx 113.0 \ in^2[/tex]

The area of the pizza is about 113.0 square inches.