Question

A pizza with a diameter of 12 inches is cut into 8 equal slices to the nearest square inch what is the area of each slice of the pizza

Answer 1

The area of each slice of the pizza is 4.5π square inches.

Step-by-step explanation:

To find the area of each slice of the pizza, we need to find the area of the whole pizza and then divide it by the number of slices. The formula to find the area of a circle is A = πr^2.

Given that the diameter of the pizza is 12 inches, the radius would be half of that, which is 6 inches. Plugging this value into the formula, we get A = π(6^2) = 36π square inches.

Now, we divide this area by the number of slices (8) to find the area of each individual slice. So, the area of each slice is 36π/8 = 4.5π square inches.

Answer 2

Area of a slice = Area of the pizza ÷ 8
Therefore the area of the pizza equals:
AreaPizza = π × r^2 ( r = diameter ÷ 2)
= π × 6^2
= 113.097
AreaSlice = AreaPizza ÷ 8
= 113.097 ÷ 8
= 14.137 inches squared
To the nearest square inch, each slice is 14 inches squared.