SOLUTION: Three pizzas of the given diameter are cut as indicated. Which cut produces the largest pieces? a. An 8-inch pizza cut into 6 congruent slices b. A 12-inch pizza cut into 8 con

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Question 194941: Three pizzas of the given diameter are cut as indicated. Which cut produces the largest pieces?
a. An 8-inch pizza cut into 6 congruent slices
b. A 12-inch pizza cut into 8 congruent slices
c. A 16-inch pizza cut into 10 congruent slices
I chose A, but I'm not really sure if the drawings I made are accurate.
Found 2 solutions by ankor@dixie-net.com, scott8148:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Three pizzas of the given diameter are cut as indicated. Which cut produces the largest pieces?
a. An 8-inch pizza cut into 6 congruent slices
b. A 12-inch pizza cut into 8 congruent slices
c. A 16-inch pizza cut into 10 congruent slices
:
Find the area and divide by the no. of slices
8": %28pi%2A4%5E2%29%2F6 = 8.38
:
12": %28pi%2A6%5E2%29%2F8 = 14.13
:
16": %28pi%2A8%5E2%29%2F10 = 20.1

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the amount of pizza (area of a circle) is proportional to the SQUARE of the diameter

a 12 inch pizza is 2 1/4 times as large as an 8 inch pizza

a 16 inch pizza is 4 times as large as an 8 inch pizza