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sammy [17]
3 years ago
15

A pizza shop sells pizza by the slice. They must make two different sizes of pizza - a 12-inch pizza which they cut into 60-degr

ee slices and a 14-inch pizza which they cut into 45-degree slices. They sell a slice of each one for the same price. Which is the better deal? Justify your answer, by showing your work.
Mathematics
2 answers:
Vadim26 [7]3 years ago
6 0

Answer:

14 inch pizza.

Step-by-step explanation:

A pizza is the shape of a circle which is 360 degrees.

For the 12 in pizza, it is being divided into 60 degree slices.

360/60= 6 slices.

The area of the pizza is calculates with \pi *r^2 so we must find the radius of the pizza, r. 12 inch is the diameter which is 2r so half of the diameter= r.

12/2=6=r

So the area of the 12 inch pizza is = pi*6*6= 36\pi

36\pi/6 for 6 slices means each slice is 6 pi in area.

For the 14 inch pizza, it is being divided into 45 degree slices.

360/45= 8

The radius = d/2= 14/2= 7

The area = \pi*7*7 = 49pi

For each slice 49\pi/8= 6.125\pi

Since 6.125\pi > 6\pi that  means that the 14 inch pizza slice is a better deal because you get more food for the same amount of money.

otez555 [7]3 years ago
5 0

Answer:

14inch pizza

Step-by-step explanation:

1. Compare the area of both slices

For 12in, A = (pi(6^2))/6 = 36pi/6 = 18.9

For 14in, A = (pi(7^2))/7 = 49pi/8 = 19.2

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