Pizza Pi

How do you determine the area of a circle?

Area = Pi * radius squared

Medium Pizza = 14”
Large Pizza = 16”

Let’s go though an exercise and use a real-life example of how this formula can come in handy:

Johnny agreed to share a medium pizza with four people equally (25% each). Billy offered to get a large pizza and split it with everyone (20% each). In an effort to preserve “his peice of the pie”, he declined the offer because he ended up with smaller percentage of the pie. Was he correct?

Answer: No. If the pie increases from a 14” to a 16”, everyone gets more pie, including Johnny so long as he is promised more than 19%. In fact, Johnny would have enjoyed even more pizza.

Work:
Pi = 3.14 (rounded).
Medium Pizza = 3.14 * 7 * 7 * 25% = 38.5 square inches of pizza.
Large Pizza B/E calculation = 3.14*8*8*?= 38.5. ? = 38.5/(3.14*8*8) = 19%

Why am I posting this exercise? This example comes in handy when some passionate and creative thinker starts talking about percentages and self preservation. I have created some 15 minute republicans leveraging this example. Most of the time, however, the conversation doesn’t go much further because it is usually followed by a long pause and a quick change in subject.

Comment viewing options

Select your preferred way to display the comments and click "Save settings" to activate your changes.
Glock21's picture

B... this formula is accurate for pizzas of large enough scale, but Quantum Pizza Theory postulates that pizza calculations should be quantized by the bite to accurately account for Quantum Pizza Theory phenomenon such as crust and topping ratios.  ;-) 

 

--

Glock21 Op/Ed

Kevin Sandefur's picture

"Make the pie higher!" -- George W. Bush

"Pie are squared?"  NO WAY how stupid is that?   Pies are round!!!   :-)

B is for Business's picture

LOL! : )

Answer = Deep Dish

B is for Business's picture

Nope. Everyone in the example were die-hard monicals fans.

"Monicals thin-crust pizza is the only way to go".

- Johnny

Just goes to prove Johnny isn't so bad.

Let's not forget Jupiter's....

I think it proves that "book learnin"" is useful in the real world.

How many of you knew that 20% of the 16" circle was equal to 25" of the 14" circle? How many knew just by glancing at it?

How many of you were taught this formula in school in a way it would be remembered, and made useful for you?

How many high school kids in C-U today know the formula for determing the area of a circle?

My guess is the answer is "Not many".

How many of you or how many high school students can tell us the nickname for Britney Spears ex-husband?

Sadly, IMO, far more know K-Fed than know "pi r squared".

 

Actually, I've performed this enough that I've memorized the percentages--10":16" = 25/64 or 39%

You don't need to multiply the Pi--that's just the constant--it's not necessary for ratios or comparison.

But you forgot the part of the equation where you don't let your wife have any pizza because if she's just too lazy to bring her purse to pay for her share, she's got to learn somehow. Then when she leaves you, you lose your better half and you can only afford about 40% as much pizza. So you are stuck eating a lot of 10" pizzas and picking the kids up on weekends.

 

Condescension is fun, but it's possible that your opponents in the debate have a better grasp of math than you do and simply are incorporating variables that you are not. I'm not saying that describes me, but certainly whipping out some basic math and then proclaiming superiority is not a good strategy regardless.

Some of us have studied plenty of economics and mathematics and that's why we are compassionate liberals.

See what Xian did, he took the 14" pizza and turned it into a 10" pizza (This might be because Xian is really a libertarian, and he wanted to demonstrate how government action reduces wealth. Actually, it's because 14 is not a perfect square, and Xian really wanted to show off his knowledge of square numbers. If you have a hammer...). Then he made an unfair insult at conservatives/libertarians because he doesn't distinguish between private acts of compassion and government taking and giving. Then, after trying to look smart, he criticizes the original poster for trying to look smart when in fact the poster was just bringing up a basic concept that liberals often ignore. It is the reason that the "rich" are paying even more taxes after getting a tax cut, and the reason that income inequality is not the most evil thing in the world.

 

The diameter measurements of pizzas are pre-squaring, so it doesn't matter whether 14 is a perfect square or not. What is relevant is whether you have an odd or even number. If you have an odd number, you'd get quarters in your equation. That's fine, but generally there aren't 15 or 17 inch pizzas available.

So square numbers are relevant whenever you are calculating areas of circles or cylinders. You know--PiR^2 or PiR^2 * H and all that business...

 The point is not intelligence--it's that regular use of knowledge makes it easily accessible within your brain and then the concept is available whenever you need to apply it to a problem; even one from another discipline. I wasn't disagreeing with the original poster, only his implication that this sacred knowledge was somehow monopolized by conservatives. It's pretty dangerous to assume you are always right and based that assumption on the idea that others don't understand a specific principle, unless you can demonstrate directly. I just wanted to point out that his assumptions that non-conservatives don't understand how to apply the area formula and so they can't understand economics is wrong on multiple levels.

Sure, it's not good to try to look smart, but it's worse to try to attack others and not even understand the formulas being discussed. B does understand them. You do not.

I thought the post was simple and straight forward and was not condescending at all.   If you fail to consider that the pie is getting larger, you can be hurting yourself when you try to preserve your relative portiion of the pie.   If both sides of any argument agree on this, it could make for some constructive and respectful conversation.    Instead, a pizza somehow became a square and people somehow become offended by applying simple math as a basis for discussion.

Xian's assumptions of what the author assumed has no basis.  He did point out other variables should be taken into equation.    There are no other variables being argued. 

 

 

B is for Business's picture

I was not trying to be superior. I was making a point without pointing the finger at anyone or victimizing anyone.

I will admit, at given point in time, it is highly likely the person I am talking to has a better concept of math than I do.

"I just wanted to point out that his assumptions that non-conservatives don't understand how to apply the area formula and so they can't understand economics is wrong on multiple levels."

Exactly the opposite! I assume (for better or worse) that everyone I talk to knows how to apply the area formula. If there is debate over the math, I don't bother. If there the argument is that we need consider other variables, I would welcome that conversation.

A lot of words were put in my mouth in this thread.