A large, circular pizza is sliced into pieces of equal size, as shown below.

Ted ate 3 pieces of the pizza. What is the approximate area of the remaining pizza if the diameter of the pizza is 18 inches?

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Answer:

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Step-by-step explanation:

If Ted ate 3 pieces of the pizza the approximate area of the remaining pizza is 159 square inches.

What is a circle?

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

The diameter of the large circular pizza = 18 inches

We know the area of the circle is given by:

A = πr²

Where r is the radius of the circle

The radius of the circle = half the diameter of the circle

[tex]\rm r = \frac{Diameter}{2}[/tex]

[tex]\rm r = \frac{18}{2}[/tex]

r = 9 inches

A = π×9²

A = 81π square inches

Each slice area = 81π/8    (total slice = 8)

= 10.125π square inches

If Ted ate 3 pieces of the pizza then the area of the remaining pizza is given by:

= 81π - 3×10.125π

= 81π - 30.375π

= 50.625π

= 159.043 ≈ 159 square inches.

Thus, if Ted ate 3 pieces of the pizza the approximate area of the remaining pizza is 159 square inches.

Learn more about circle here:

brainly.com/question/11833983