75.3k views
1 vote
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-degree 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.

User Botbot
by
8.5k points

2 Answers

5 votes

Answer:

14 inch pizza.

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.

User Rafi
by
8.1k points
1 vote

Answer:

14inch pizza

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

User Dbryson
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories