# Answer to Question #12943 in Geometry for Isis

Question #12943

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.

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.

Expert's answer

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.

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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