What is the distance around 1 pizza slice? (pizza = 20 inches wide, 8 even slices) 

I wish I had a math teacher like you when I was a kid!!

Slice side =r so two sides = d = 20" Circumference = πd = 62.8319" Arc of 1 slice = circ/8 = 7.854" Total = 27.854"

All I know is a friend orderd pizza during a football game and he said make sure they slice the pizza into 12 slices instead of 8 because "I can't eat 12 slices".

C=pye x D , D = 20" , C =3.14 x 20 = 62 8 " . 8 slices =62.8 / 8 = 7 85 = On the curved edge . 2 radius cuts = 10 " + 10 " or 2 R > Distance around one peice = 10 + 10 + 7.85 = 27.85 " .

I would say: 20 + 2,5 pi. :)

In my head I came up with "almost 28" --- Didn't feel like using a pen Lol

It does not clarify round or square. Many of us eat at PIZZA HUT and may get square pizzas

Let's assume that "even slices" means that all slices have equal area. As an aside... It IS possible to cut pizza in such a way that each of the eight slices will have an area of 39.27 sqin but the pizza is not cut radially. I didn't "do the math," but I suspect that the circumferences of these slices are not all equal. For example, if a point on the edge of the pizza is where all slices converge, one side of both the "middle" two slices will be 20, the other edge will be close to 20, and the opposite "crustal" edge will be at its minimum. Two slices will each have only one straight side, the remainder of the circumference being crust.

First off, I'm so proud of myself for actually coming up with 27.85. Also, do you realize that at 4:50 you called it a 20 FOOT pizza? Boy, that would take a while to get down!

I used to have to spray chemicals so I had to calculate how many Sqr mtrs of a particular piece of ground so I knew how much chemical to mix with water. The triangle piece of ground was always used in the final test A=bxh÷2. But a pizza slice was way harder 🍕😂 I guess I would have just called it a triangle and sprayed accordingly 🤣

This is part of why math is so confusing to most. Each slice has 2 radius lines (10" each, for 20" total, plus the dividend of 1/8th of the circumference. The only real math then that is required is C=(2piR^2)/8. The majority of the answer is given to you already, it is made harder by how it is presented. C=(2piR^2)/8 =(2×3.14×10^2)/8 =(2×3.14×100)/8 C=(2×314)/8 A=628/8 =78.5 Unsure exactly how/why my answer is 10x too high, but there is my thought process. *** I found my mistake. I combined the formula for D with the formula for C, which threw my calculations off by a factor of 10.*** PSA - Coffee up BEFORE you tackle math, kids!!

thank you 😂

If you are on a diet ... and you don't want to make your significant other mad at you ... have your pizza cut in half ... then eat just 1 piece :) You can't be a bad boy/girl for only eating 1 piece.

Circumference of Circle = π(Dia. Of Circle) = 20π Length of the arc of one slice = 20π/8 = 2.5π Distance around one slice = 20 + 2.5π = 20 + 7.854 ≈ 27.854

Thanks made me stop for an instant to remember Circumference = pi* diameter...27.853982 inches close enough for Government work..

I don't have a clue what the distance is around a slice of pizza because I've never walked around one. 🤡😄🤣🤗😇 And this is a GOOD ANSWER Because family feud says so.

C=3.14x20=62.8"÷8 equals 7.85 on outer edge slice. R=10". 10" each side. 10+10+7.85=27.85".

Pi is irrational, therefore ... of infinite length. However, the slice IS finite. How come Pi keeps growing, but the slice - who's arc is determined by Pi - doesn't (keep growing)?

Approximately six inches, maybe 7 if I open wider...? I love pizza, and your teaching, just in the wrong class, i go now.

I misunderstood the wording, i got 7.85 because i thought we were looking for the arc. The area of that slice is 39.25, is what i came up with.

This is math.....you can't make the assumption that the pizza is round from the given information. You have to declare that in the problem. What if it's a square pizza? 20" wide only gives you a single dimension. What if it was a 20 x 20 pizza? 8 even slices of that is not the same distance around as that of a 20" dia. pizza slice in eighths......unfair! Of course, you really need to declare the second dimension of the pizza for a rectangular or square or declare it's a round pizza up front.

I'm sorry I just have never had my job go into this detail... Thank God. I'm sure there are jobs that need this information but the norm I don't think so.

The distance is 5 bites, and the time is 20 seconds, unless you are in a car near the equator traveling westward. Extra anchovies please.

2.5

It depends on how much of it I eat first. 🤣🤣🤣 Sorry, I just don't get fractions.

My answer is 5xpi

In 30 seconds I had an approximate answer of 28 inches. Not difficult.

Distance around = perimeter of a slice = 10+10+(20*pi)/8 ~= 27.854

Why add them ? What does the problem mean by distance around? Aren't we measuring the arc alone,?

2(pi)r/n + 2r r = radius n = pieces

27.85". I prefer a more direct formula of C=pi x D. It explains what is going on more directly than C=2pi x r.

Always bad at geometry, didn't fully understand the question.

80" on a square pizza and not able to calculate on a rectangular pizza....

The most disappointing thing about this is still using inches. We have been metric for 50 years

I got my pizza at Zeno's. I'm still trying to finish it.

4:54 "envision a twenty foot wide pizza" John, I love the way you think. When's your next pizza party?

10 inches + 10 inches + 7.86 inches = 27.86 inches

What does distance around mean? Where is it in the drawing?

No slice is straight so its (Dia x π÷8)+( 2* rad )

Is the pizza round or something else?

I came up with a distance of 7.85 x 8 = 62.8 circumference with a diameter of 20, radius 10, and Pi 3.14

6.2 inches?

Circumference / 8 plus 10 + 10

diameter + 1/8 2 piR = dia + 1/8 pi D

Quick guess 27. Obviously two lots of 10 inches the radius plus 1/8 of the circumference of 2pie R. Ie 2 x 3 x10,,=60 divided by 8 which s 7.5. So revised answer 27.5

I used mental math on this one because 10 is an easy radius to multiply by 2(pi). I almost messed up and used pi(r^2), but quickly realized that there is no way a 20" circle would have a circumference of 314" 😁 But I remembered the correct formula and ended up with 62.8/8 +10+10 and got 27.85.

All sides have to be the same size.

707mm

2pi*r/8 + 20 - one big bite.

I forgot the inches units

Roughly 28 inches I find it hard to believe I'm just now realizing why it's called the arc. Going for my sanity to assume I'd just forgotten this information.

I always use this to remember, Mr Coombes my Headmaster taught me this about 50 years ago. A ring round the moon is pi times d, but if you want the whole repaired, the formular is pi r squared. It was my go to for solving the above. Hope it helps someone.

I had an estimate of a little under 8" for the arc after about 20 seconds and then started thinking about center angle and radians to prove it. Maybe missing the obvious way is why I found math quite difficult at school :-)

Never mind I see what i did

40” and each slice is 5”

About 4 bites , for me.

circumference 2(pie)r r=1/2 width a piece is 1/8 circumference so 2(pie)10/8 = x .... lets see and was correct

The exact snswer is 20+ 2.5×pi inches, or approximately 27.854 in.

Its a huge Pizza!!!

Multiply by pizza pi.

27.85" It took me about 10 seconds but I did need to use my calculator.

Fun one! 27.85!

10 X 3.14 !

Every comment that showed his error has been deleted. Is this a good teacher?

12.5 inches

About 8 bites.

The distance around each slice if pizza is .. (1/8 of the circumference) plus (the length of the radius twice) The circumference is 2 x Pi x the radius and the radius is half the diameter (width) So .. calling Pi 3.14 we have (2 x 3.14 x 10)/8 + (10 + 10) 62.4/8 + 20 7.85 + 20 The distance around each slice is 27.85 inches

Got ~27.854 but 20 inches is one BIG pizza.

Excelente

Meant 22.5

Pi*20/8 +20. I could crunch that out but I'm not.

8 inches

Perimeter of Pizza [X = Number of slices] (1/X * Diameter of Pizza * pi) + Diameter

Area arc

On a side note, is this pizza Chicago style deep dish, Sicilian, or a New Yorker? P.S. Love your videos and answered correctly

Pi

d=20" r=10" Perimiter is {πd/8+2r} = ~27.85"

27.854

27.85”

27.85

2 1/2"

39.63

62…61?

22.5”

22.25

2.4”

8

4

what does 20 inch wide mean? how long is it ?

27.85

5pie/2 +20

Round or rectangular pizza?

Approx3.1416*20/8 +20

are you teaching math or are you teaching us how to draw a circle?

Some folks like to find the numeric values for each fragment of the solution, then add them all together. Nothing wrong with that. My mind tends to do better when I keep everything in variables until the end. Overview We need to find the length of the two sides and the length of the arc and add them together. diameter = 20 inches side = radius arc = circumference/8 Perimeter = r + r + c/8 (c = 2πr from formula) (substitute for c) Perimeter = r + r + (2πr)/8 (combine terms) Perimeter = 2r + (2πr)/8 (at this point, I'd probably just substitute d for 2r) Perimeter = d + (πd)/8 (substitute the numeric value for pi and d and ignore the units and insert that later) Perimeter = 20 + (3.14 × 20)/8 Perimeter = 20 + (62.8)/8 Perimeter = 20 + 7.85 Perimeter = 27.85

got it exactly. good one, thanks.

I got 27.85"

63 inches approx. 😊

Since you used the word "wide" I assume it is either a square or rectangular pizza. Since you did not specify which it is an impossible problem. However if you had said the pizza has a diameter of 20" that is a simple problem solved by the equation, pi*d/8. Like you said the details count. Love your show.

about 8.866"