Three pizzas of the given diameter are cut. Which cut produces the largest pieces?
A. An 8-inch pizza cut into 6 congruent slices
B. An 12-inch pizza cut into 8 congruent slices.
C.An 16-inch pizza cut into 10 congruent slices.
1
Expert's answer
2012-08-10T11:16:58-0400
The piece area of an 8-inch pizza cut into 6 congruent slices is
A1 = π(8/2)²/6 ≈ 8.3776;
The piece area of a 12-inch pizza cut into 8 congruent slices is
A1 = π(12/2)²/8 ≈ 14.1372;
The piece area of an 16-inch pizza cut into 10 congruent slices is
A1 = π(16/2)²/10 ≈ 20.1062.
So, a 16-inch pizza cut into 10 congruent slices produces the largest pieces.
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