A large pizza at Tony's Pizzeria is a circle with a 14-inch diameter. Its box is a rectangular prism that is 1 14 8 inches long, 1 14 8 inches wide, and 3 1 4 inches tall. Your job is to design a crazy new shape for a large pizza. It can be any irregular polygon shape, but it must have at least five sides.

Question

Mathematics

Justin Shepherd

2 December, 01:01

A large pizza at Tony's Pizzeria is a circle with a 14-inch diameter. Its box is a rectangular prism that is 1 14 8 inches long, 1 14 8 inches wide, and 3 1 4 inches tall. Your job is to design a crazy new shape for a large pizza. It can be any irregular polygon shape, but it must have at least five sides.

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Armando Villarreal · Answer 1

A hexagon is a good choice for a problem like this.

If you draw a regular hexagon, you will see that the distance across it must be the same 14 1/8" to clear the 14" pizza ... that distance must be side to side not vertex to vertex ...

That 14 1/8" distance is the length of two apothems.

Thus the apothem is 7 1/16".