A pizza with a diameter of 24 inches is cut into 16 equal slices. To the nearest square inch, what is the area of each slice of the pizza?A.57 in2B.28 in2C.5 in2D.9 in2SUBMITarrow_backPREVIOUS
Question
A pizza with a diameter of 24 inches is cut into 16 equal slices. To the nearest square inch, what is the area of each slice of the pizza?A.57 in2B.28 in2C.5 in2D.9 in2SUBMITarrow_backPREVIOUS
Solution
To solve this problem, we first need to find the total area of the pizza and then divide it by the number of slices.
Step 1: Find the radius of the pizza. The diameter is 24 inches, so the radius is half of that, which is 12 inches.
Step 2: Find the total area of the pizza. The formula for the area of a circle is πr². Substituting the radius of 12 inches, we get:
Area = π * (12 in)² = π * 144 in² = 452.39 in² (approximately)
Step 3: Divide the total area by the number of slices. There are 16 slices, so:
Area per slice = 452.39 in² / 16 = 28.27 in²
To the nearest square inch, the area of each slice is 28 in². So, the answer is B. 28 in².
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