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pi-area-vs-circumference

pi-area-vs-circumference

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The speaker, April Jones, explains the concept of "pi" in math. Pi is a symbol used to calculate the area and circumference of a circle. The area is the inside of the circle, while the circumference is the outside. The speaker uses the analogy of a pizza to explain these concepts. She also mentions that Pi Day is a math joke holiday celebrated on March 14th (3.14). Pi is approximately 3.14, and it is used in calculations involving circles. Hi, when your math isn't math-ish, then you're not keeping up with the Joneses. Hi, I'm April Jones, your tutor for today. And today, you know what we're talking about? We're talking about pie. What is your favorite kind of pie? You know, there is apple pie, key lime pie, lemon meringue pie. Some country folk even would think peach pie is a pie. But unfortunately, that's not the kind of pie we're talking about. We're talking about P-I, not P-I-E. What is P-I? You know, it's that funny symbol that nobody really understands what its true value is, but yet we use it somehow or another to do something with the circle. Pie is actually 3.14159265359, so forth, so on, but we don't use all those numbers. We just stop it at 3.14. Pie is so well-celebrated, it's actually a national little math joke holiday. Pie Day, 3.14. Can you believe that I went and got an 11-inch pizza for $3.14 just because it was Pie Day? Besides getting discounts on pizza, what do I use pie for? Pie can be used for two different things. It can be used to find the area of the circle and the circumference of the circle. What's the difference? We've all heard of area. Have we heard of circumference? I don't know, but we're about to. So think of it this way. Area is the inside of the circle. Is the outside of the circle. Huh? Outside of a circle, of the blank white space? No. Circumference of the circle is like if I have a circle or a pie and I want to enclose it, that would be the circumference. So let's put it in some terms in which you may understand. One thing that everybody understands, pizza. So I want you to think about your pizza. Imagine that you got this piping hot pizza right out the oven. The cheese is melting and it's looking so good. And then your friend comes and say, hey, can I have a piece of your pizza? And then you ask them, well, how much pizza you want? Because you know, reluctantly you're sharing. They say, um, from here to the center of the circle. Here from the center? You mean the radius? Yeah, yeah, yeah. I want from the radius to the edge. Oh, OK. Well, I guess that's about one slice of pizza. But, oh no, your other friend wants it from this end of the circle to that end of the circle. And what is, you want the diameter? You won't have the pizza. So your diameter goes from one end of the circle or a point on the circle all the way across to another end of the circle. Another point straight across is the diameter. The radius is just half. Now, when I want to figure out, OK, I don't want to share my pizza. I'm going to keep it for me. And what I'm going to do is I'm going to box it up really, really quickly so I don't have to share it and people don't know that I have pizza. I need a box. How big of a box do I need? Well, that's what circumference is, figuring out how much goes around the outside of the pizza. So that way, I can box the whole pizza. Knowing how much in the inside isn't going to help me box my pizza. So if I have an 11-inch pizza, then to figure out how big of a box I would need, I would need to take pi, 3.14, and then I multiply it by 11. And then that tells me how big of a pizza I need. I'm sorry, how big of a box I need. I just like pizza, disregard. So then, if I'm like, OK, cool. Now, I know how big my pizza is. I know how big of a box I need. Now, let's fill it with the toppings. I don't know what kind of toppings you like. I'm a cheese girl. But if you ask my son, he probably going to say throw some sausage, bacon. More sausages and more bacon, no vegetables, of course. But for all you vegetable lovers, we got room for that as well. So how much toppings can my pizza hold? Well, that's the inside of the crust where the cheese is. That is the area. And so that is the part that we are looking to fill inside of that. So long story short, short story longer, however you want to say it, the difference between area and circumference is circumference outside, area inside. And how do you calculate both? Well, you have to use pie. Who doesn't love a good piece of pie? So remember, when your mouth is a mouth, try to keep it up with the Joneses. This is what you hear and listen. This is what you hear and listen. Extra, we'll give it to you. Wait for you to get it on your own. Extra delivery.

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