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beks73
1 month ago
13

Part c when sizes of pizzas are quoted in inches, the number quoted is the diameter of the pizza. a restaurant advertises an 8-i

nch "personal pizza." if this 8-inch pizza is the right size for one person, how many people can be fed by a large 16-inch pizza? express your answer numerically. view available hint(s)
Mathematics
2 answers:
tester [12.3K]1 month ago
8 0
I believe this situation pertains to "two individuals," though I consider a 16-inch pizza to be more than sufficient. Apologies if I'm mistaken.
Inessa [12.5K]1 month ago
3 0
The number of people it serves is determined by the pizza's area.
First, we need to calculate the area of both the 8-inch pizza and the 16-inch pizza.


A = pi*r^2
For the 8-inch pizza:
diameter = 8 inches; radius = 4 inches
Thus, A = pi * (4 in)^2 = 16pi in^2.
For the 16-inch pizza:
diameter = 16 inches; radius = 8 inches
This results in A = pi * (8 in)^2 = 64pi in^2.
The area of the 8-inch pizza is 16pi in^2.
Conversely, the area of the 16-inch pizza is 64pi in^2.

Next, we find out how many times larger the area of the 16-inch pizza is compared to the 8-inch pizza.
Thus, ratio = (64pi in^2)/(16pi in^2) = 64/16 = 4.
A 16-inch pizza has an area four times that of an 8-inch pizza.
Since an 8-inch pizza is sufficient for one person, the larger 16-inch pizza can accommodate 4 individuals.
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