Question 9 of 25A pizza with a diameter of 18 inches is cut into 10 equal slices. To the nearest square inch, what is the area of each slice of the pizza?A.8 in2B.25 in2C.6 in2D.51 in2
Question
Question 9 of 25A pizza with a diameter of 18 inches is cut into 10 equal slices. To the nearest square inch, what is the area of each slice of the pizza?A.8 in2B.25 in2C.6 in2D.51 in2
Solution
First, we need to find the total area of the pizza. The formula for the area of a circle is πr², where r is the radius of the circle. The radius is half the diameter, so for an 18-inch pizza, the radius is 9 inches.
So, the total area of the pizza is π(9)² = 81π square inches.
The pizza is cut into 10 equal slices, so the area of each slice is the total area divided by the number of slices.
So, the area of each slice is 81π/10 = 8.1π square inches.
To the nearest square inch, this is approximately 25 square inches.
So, the answer is B. 25 in².
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