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allytheclarinetqueen
The formula for the area of a circle is pi • (r)^2. The ‘r’ is the radius.

We know that the diameter is 16 inches. The radius will ALWAYS be equal to half of the diameter! 16/2 is 8, so r=8.

Now we can use the formula. 8^2 is 64, an 64pi is about 201. 201 is the area of the entire pizza.

Because we are only looking for the area of one slice, we can put 201 over 12, which is about 16.74.

Therefore, the area for one slice is 16.74 square inches.

Using the area of a circle formula to solve the problem. Then the area of one slice of the Pizza is 16.75 square inches.

What is a circle?

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

Given

A circular pizza with a 16-inch diameter is divided into 12 equal slices.

The diameter is 16 inches then the radius will be 8 inches

The area of the pizza will be

[tex]\rm Area \ of \ the \ Pizza = \pi * r^2\\\\Area \ of \ the \ Pizza = \pi * 8^2\\\\Area \ of \ the \ Pizza = 201[/tex]

The pizza is divided into 12 parts. then

[tex]\rm Area \ of \ one \ slice \ of \ Pizza = \dfrac{201}{12}\\\\Area \ of \ one \ slice \ of \ Pizza = 16.75[/tex]

Thus, the area of one slice of the Pizza is 16.75 square inches.

More about the circle link is given below.

https://brainly.com/question/11833983