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Question 17 of 21

A sweet potato pie with a diameter of 10 inches is cut into 8 equal slices. To
the nearest square inch, what is the area of each slice?
A. 39 in²
B. 10 in2
C. 5 in2
D. 20 in²

1 Answer

2 votes
The area of a circle is given by the formula A = πr^2, where r is the radius of the circle. Since the diameter of the sweet potato pie is 10 inches, the radius is half of that, or 5 inches.

The area of the whole pie is:

A = πr^2 = π(5 in)^2 ≈ 78.54 in²

Since the pie is cut into 8 equal slices, each slice would have an area of:

A/8 ≈ 78.54 in² ÷ 8 ≈ 9.82 in²

Rounding this to the nearest square inch gives:

10 in²

Therefore, the answer is B. 10 in² (to the nearest square inch).
User Kellon
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