Respuesta :
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.
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.
The area of each slice of the pizza is [tex]4.5\pi[/tex] and this can be determined by using the formula of the area of the circle.
Given :
A pizza with a diameter of 12 inches is cut into 8 equal slices to the nearest square inch.
The following steps can be used in order to determine the area of each slice of the pizza:
Step 1 - The formula of the area of the circle can be used in order to determine the area of each slice of the pizza.
Step 2 - The pizza is in the shape of a circle so, the area of the pizza is given below:
[tex]\rm A=\pi r^2[/tex]
[tex]\rm A=\pi \times 6^2[/tex]
[tex]\rm A = 36\pi[/tex]
Step 3 - Now, the area of each slice of the pizza is:
[tex]\rm A = \dfrac{36\pi}{8}[/tex]
[tex]\rm A = 4.5\pi[/tex]
For more information, refer to the link given below:
https://brainly.com/question/1238286
