Noah discovered that a 16-in.-diameter pizza costs $15.00. A 10-in.-diameter pizza costs $11.00. The 10-in.-diameter pizza is cut into six slices. The 16-in.-diameter pizza is cut into eight slices. Use 3.14 for pi.
Question content area bottom
Part 1
(a) What is the cost per slice of the 16-in.-diameter pizza?
$
1.88 (Type a whole number or a decimal rounded to the nearest hundredth as needed.)
Part 2
How many square inches of pizza are in one slice?
2 in. squared
(Type a whole number or a decimal rounded to the nearest hundredth as needed.)
Part 1
(a) The cost per slice of the 16-in.-diameter pizza is $1.88.
To calculate this, first find the area of the 16-in.-diameter pizza:
radius = diameter/2 = 16 in / 2 = 8 in
Area = π * radius^2 = 3.14 * 8^2 = 3.14 * 64 = 200.96 in^2
The cost per slice = $15.00 / 8 slices = $1.875 ≈ $1.88
Part 2
The area of one slice can be calculated by dividing the total area of the pizza by the number of slices it's cut into.
Area of one slice = 200.96 in^2 / 8 slices = 25.12 in^2
Therefore, one slice of the 16-in.-diameter pizza has 25.12 square inches of pizza.