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Head First 2D Geometry by Dawn Griffiths, Stray

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Mar
io will
add 5 c
ents
p
er p
i
ece of
p
epp
eroni.
custom sized pies
Pepperoni crust pizza—but at what price?
Mario’s idea is to offer a pepperoni crust on any pizza. He wants to offer
the best possible value to his customers so he’ll only add the minimum
price needed to cover the cost of the extra pepperoni. Sounds simple,
right? But Mario has a problem with the sequence of events in the pizza
process:
1
The customer rings up with their order.
2
Mario says how much it will be.
That’s 12
dollars and
60 cents.
3
Mario makes the pizza.
I’d like a 14"
Hawaiian, with
pepperoni crust.
The catch is…Mario’s pizzas are custom sized!
If Mario only offered a couple of pizza sizes you could just make
the crust for each size once and then always add the cost of that
amount. But Mario likes to give his customers as much choice as
possible.
212 Chapter 5
I let the customer choose the size
they want—any size—8-inch, 23-inch,
whatever. But to give them the right
price I need to know now many pieces of
pepperoni I’ll use on the edge—before I
make the pizza! Is this possible?
circles
Geometry Detective
Mario needs a way to work out how many pieces of pepperoni it will
take to edge a pizza, based only on the diameter of the pizza. Each
piece of pepperoni is 1 inch across.
Your mission is to investigate the relationship between the diameter
of each pizza and the “perimeter, or outside edge, of the pizza. How
many pieces of pepperoni does Mario need to edge each pizza
below? Is there a pattern?
Scale: 1cm = 2 inches
Hint: A piece of string can be useful
to measure the outside edge of a
circle
you are here 4 213

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