Question

What is the area of a pizza with a diameter of 12 inches? Round to the nearest tenth. Use 3.14 for pi.

Answer 1

`\boxed {\boxed {\sf a \approx 113.0 \ in^2}}`

Explanation:

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

`a= \pi r^2`

1. Find Radius

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

The radius is half the diameter, or:

`r=(d)/(2)`

`r=(12 \ in)/(2)`

`r= 6 \ in`

2. Calculate Area

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

`a= (3.14)(6 \ in)^2`

Solve the exponent.

• (6 in)²= 6 in* 6 in= 36 in²

`a= (3.14)(36 \ in^2)`

Multiply.

`a= 113.04 \ in^2`

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.

`a \approx 113.0 \ in^2`

The area of the pizza is about 113.0 square inches.