woolyfrog:
I need help with geometry I basically got the answers, but I still need help.
Shadow:
Can you post le information?
woolyfrog:
yea
Shadow:
Can you upload the image?
woolyfrog:
link doesnt work?
Shadow:
I can't view it due to this wifi point. It's not a problem with the website itself.
woolyfrog:
How do i upload
Shadow:
"Attach File" function
woolyfrog:
ok
woolyfrog:
I--- have so far.
woolyfrog:
that could help^
woolyfrog:
nvm its 180 degrees in the london eye lol. How do i find the degrees of the Orlando eye?
Shadow:
Quite the assignment
woolyfrog:
yeah but the prezi website can help
woolyfrog:
lol
Shadow:
Isn't #3 just asking for the # of capsules?
woolyfrog:
yeah i dont help with that lol i have 32 capsules aka cars
Shadow:
Says 30 in one of the images. You can change it?
woolyfrog:
i just need help with 6-9
Shadow:
Looking for that part
woolyfrog:
okay thx
Shadow:
That's weird, since a Ferris wheel is a full circle, thus 360 degrees...not 180
woolyfrog:
he does say 360 in the arc length between two cars
Shadow:
Yeah he states it as it being half, I just don't see the point of it ._.
woolyfrog:
;(
Shadow:
I guess to make his life easier. But then why only 7 parts? I assume he refers to the arcs inbetween the cars, right?
woolyfrog:
idk
woolyfrog:
its half of the london eye is 180
woolyfrog:
Half of the London eye is 180 degrees
Shadow:
Yeah, he did that part wrong. It may not be the best thing to refer to.
woolyfrog:
Okay so how should i do number 6?
woolyfrog:
:P
Shadow:
To prepare for #8, as he attempted to do, lets solve for the central angle between two compartments. How many "sections" are inbetween the total # of compartments?
woolyfrog:
what are sectoins?
woolyfrog:
sections*
Shadow:
|dw:1518730325147:dw|
Shadow:
First line touches point A. Point A is a compartment. Second line touches point B. Point B is a compartment. We are trying to solve for that angle.
woolyfrog:
theres 40 sections
Shadow:
30 compartments = 40 sections?
woolyfrog:
so 30 sections?
woolyfrog:
24 sections?
Shadow:
|dw:1518730451920:dw| In this picture we have six compartments. How many sections do we have inbetween the total # of compartments?
woolyfrog:
6
Shadow:
As I am sure you see now, we have 30 sections. This means that if we divide the total # of degrees in a circle by the amount of sections, we should get the central angle for one of those sections. 360/30 = 12 degrees
Shadow:
By the way, which Ferris wheel are you doing?
woolyfrog:
were doing number 8?
woolyfrog:
Orlando Eye
Shadow:
No, we're solving for a central angle. It doesn't specify what kind, so we just solve for one that we can use later.
Shadow:
Do you know how to convert degrees into Radians?
woolyfrog:
no
woolyfrog:
the answer is 12 degrees? for number 8 lol
Shadow:
You said we start with 6. It's asking us for a central angle. A central angle is any angle like this: |dw:1518730833408:dw| Vertex at the center
Shadow:
We have 30 sections, as we found from 30 compartments. Through 360/30 we get 12, which is the degree of the angle, of each of the 30 sections on the Ferris wheel.
woolyfrog:
360 divided by 30 = 12 and thats it?
Shadow:
For 6, yes
woolyfrog:
oh thats all i have to write?
Shadow:
Do you understand it?
woolyfrog:
why do we have to do 360 degrees
Shadow:
Because a Ferris wheel is a circle, and the # of degrees in a circle is 360
woolyfrog:
ok
Shadow:
Do you get it?
woolyfrog:
what does "Measure of a central angle" mean?
Shadow:
Basically, "how many degrees is it?"
woolyfrog:
what are degrees?
Shadow:
Are you serious?
woolyfrog:
nah im joking, but can you give me another example of the 30 sections thing? I feel like if I saw another problem like this i wouldn't know how to do the 30 section, 30 cars thing cause I wouldn't know what I have to section.
Shadow:
If you weren't, then xD
Shadow:
Okay. Lets think of it this way. Say I have a pizza. There are 30 people at this party and I need to feed all of them equally. I decide on giving them one slice each. But in order to figure out the degree at which I should cut in order to be truly even and fair, I must do some math. A pizza is a circle, therefore it consists of 360 degrees. There are 30 people at the party. Therefore, I must make 30 cuts (or lines) to have 30 pieces. 360/30 (people) = 12 degrees Each angle that I cut at, must be at 12 degrees in order for all pizzas to be even.
Shadow:
The crust of each slice is the arc length
woolyfrog:
ok i understand now
woolyfrog:
i put number 6 as 12 degrees for my answer
woolyfrog:
now number 7
woolyfrog:
1. Measure of a central angle in radians
Shadow:
The conversion for degrees to radians: \[\frac{ \pi }{ 180 }\] If I want to convert, say, 80 degrees to radians, I do \[80 \times \frac{ \pi }{ 180 } = \frac{ 80\pi }{ 180 } = \frac{ 4\pi }{ 9 }\]
Shadow:
Can you do 12 degrees (will brb)
woolyfrog:
im back
woolyfrog:
does it alwayys have to be 180?
woolyfrog:
did you divide by something?
Shadow:
Yeah, it's a conversion between units: Like there are 12 inches in a foot. If I want to convert from feet to inches, I do \[\frac{ 5ft }{ 1 } \times \frac{ 12inches }{ 1ft } = 60inches\]
Shadow:
No matter what value I have for feet, I will always use 12 inches as my conversion factor.
woolyfrog:
back
Shadow:
Same, do you get conversion factors?
woolyfrog:
no
Shadow:
Do you get the feet exampel?
woolyfrog:
oh wait nvm
woolyfrog:
yea
woolyfrog:
12pi
woolyfrog:
i get the feet example but not the 80pi/180 thing
Shadow:
For feet to inches, you basically multiply by 12 inches. For degrees, you simply multiply by pi over 180.
Shadow:
You're just multiply by a different number
Shadow:
Or value I should say
woolyfrog:
what pi over 180 mean?
Shadow:
Same thing as feet conversion factor \[\frac{ 12inches }{ 1ft}\] There are 12 inches in every foot \[\frac{ \pi }{ 180 }\] There is pi in every 180 degrees This is exemplified by this: 180 degrees to radians \[180 \times \frac{ \pi }{ 180 } = \frac{ 180\pi }{ 180 } = \pi\]
Shadow:
Basically 180 degrees = pi 12 inches = 1ft
woolyfrog:
so theres 2 pi's in a 360 degree?
Shadow:
\[360 \times \frac{ \pi }{ 180 } = \frac{ 360\pi }{ 180 } = 2\pi\]
Shadow:
Yes
woolyfrog:
12p/180 does that mean 12 times pi?
Shadow:
Yes
woolyfrog:
that gives me 37.68
Shadow:
No, leave it as pi
woolyfrog:
ok
Shadow:
What you do instead, is simplify the fraction. How many times does 12 go into 180?
woolyfrog:
15
Shadow:
So, what is 12 degrees in radians
woolyfrog:
15?
woolyfrog:
15*
Shadow:
\[12 \times \frac{ \pi }{ 180 } = \frac{ 12\pi }{ 180 } = \frac{ \pi }{ 15 }\]
woolyfrog:
ok ill write 15 radians thanks
Shadow:
No, it's pi over 15, that is the number.
woolyfrog:
i think after we finish we should delete some stuff cause maybe my teacher will say plagerism
woolyfrog:
what is a radian?
Shadow:
A radian is another way of measuring an angle, like degrees.
woolyfrog:
ok
woolyfrog:
should we delete stuff after we finish?
Shadow:
Do you understand how I got pi/15?
woolyfrog:
180 degrees = pi so thats why we used 180 and 12 because thats the central angle.
woolyfrog:
so then we did 12 into 180 to get the answer
Shadow:
You start with 12 degrees. Then you multiply by the conversion factor of pi/180. Then you simplify the fraction. You get pi/15. Do you know how to simplify fractions?
woolyfrog:
divide
Shadow:
Can you simplify 3/15 for me?
woolyfrog:
5
Shadow:
No. \[\frac{ 3 }{ 15 } = \frac{ 1 }{ 5}\]
woolyfrog:
oh
Shadow:
Do you have a calculator on you?
woolyfrog:
yes
Shadow:
Do 3/15 what do you get?
woolyfrog:
0.2
Shadow:
Does that equate to 5?
woolyfrog:
no
Shadow:
Try do 1/5, what do you get?
woolyfrog:
0.2
Shadow:
When simplify fractions, the value never changes. It always stays as 0.2, we simply change the form. When you simplify 3/15 its like this \[\frac{ 3 }{ 15 } \div \frac{ 3 }{ 3 } = \frac{ 1 }{ 5}\]
Shadow:
When you simplify fractions, you try to find something called the GCF (Greatest Common Factor). Have you heard of this before?
woolyfrog:
yes
Shadow:
What is it?
woolyfrog:
the largest interger so the GCF for 8 and 12 is 4
Shadow:
Yeah. So when we simplify: \[\frac{ 12\pi }{ 180 }\] We find the GCF, which is 12. Then we do: \[\frac{ 12\pi }{ 180 } \div \frac{ 12 }{ 12 } = \frac{ \pi }{ 15 }\] 12 div 12 = 1, therefore we get 1 times pi on top. 180 div by 12 = 15, therefore we get 15 on the bottom.
Shadow:
The answer isn't 15, it's pi over 15. I just want to make sure you understand how to do this since it's essential to many math concepts.
woolyfrog:
should i write pi or the symbol
Shadow:
Symbol
Shadow:
Do you understand how to convert?
woolyfrog:
yes but why is 12 the GCF of 180?
Shadow:
Because the GCF deals with two numbers, not just 180.
woolyfrog:
why is it 12? lol
Shadow:
Haha, just remember you asked :)
woolyfrog:
i mean like how do i find out its 12 do i do 180 divided by something? :P
Shadow:
When searching for a GCF, the elementary way goes like this. 12 ~ 1 times 12 2 times 6 3 times 4 There are no other combos to get 12 180 ~ 1 times 180 2 times 90 3 times 60 4 times 45 5 times 36 6 times 30 7 times 25.7 8 times 22.5 9 times 20 10 times 18 11 times 16.36 12 times 15
Shadow:
You basically go until you find out a number that can go into both, equally (that means no decimals).
woolyfrog:
go into both?
woolyfrog:
whats the second thing
woolyfrog:
lol elemantary :(
Shadow:
Basically, you need the greatest number that can go into both 12, and 180
woolyfrog:
why 12?
Shadow:
Because even tho 18 can go into 180 ten times, 18 is not a factor of 12.
Shadow:
The GCF must be a factor of both numbers you are seeking to reduce.
woolyfrog:
Ok
Shadow:
Example: \[\frac{ 4 }{ 9 }\] 4 ~ 1 times 4 2 times 2 9 ~ 1 times 9 3 times 3 No common factor that can go into both, except one. But dividing by 1/1 leaves it the same. 3 cant go into 4, and 2 cant go into 9
Shadow:
12 can however go into both 12 and 180
woolyfrog:
oh ok
woolyfrog:
I understand
Shadow:
So that's why we choose 12 to simplify \[\frac{ 12\pi }{ 180 }\]
Shadow:
Do you think you could convert an angle from degrees to radians on your own?
woolyfrog:
probably yea
Shadow:
Try do 20 degrees to radians
Shadow:
@woolyfrog
woolyfrog:
back
woolyfrog:
i was writing stuff down
woolyfrog:
5 can go into 20
Shadow:
What are we doing to 20, first off?
woolyfrog:
idk
Shadow:
If we want to convert 20 degrees to radians, what do we do?
woolyfrog:
idk ;(
Shadow:
Remember, when we wanted to convert 5 feet into inches, what did we do?
woolyfrog:
12inches in 1 foot
woolyfrog:
60 inches
Shadow:
Yes, the conversion factor
Shadow:
What is our conversion factor for degrees to radians?
woolyfrog:
180 degrees is 1 radian?
Shadow:
no
woolyfrog:
idk
Shadow:
pi over 180, remember
woolyfrog:
lok
woolyfrog:
ok*
Shadow:
So 20 is our degrees, and pi/180 is our conversion factor. What do we do now?
woolyfrog:
find out how many times 20 goes into 180?
woolyfrog:
brb i gotta get food from the van inside
Shadow:
._.
woolyfrog:
lol
Shadow:
It's okay, someone needs help with physics
Shadow:
I will still be here though
woolyfrog:
@Shadow I'm back :)
woolyfrog:
So 20 is our degrees, and pi/180 is our conversion factor. What do we do now?
Shadow:
That's for you to answer :)
woolyfrog:
idk what to do next lol
woolyfrog:
help
Shadow:
Multiply
Shadow:
Remember: \[\frac{ 5ft }{ 1 } \times \frac{ 12inches }{ 1ft }\]
Shadow:
You multiply by the conversion factor. That's how you get 5feet into 60inches.
woolyfrog:
3,600
woolyfrog:
@Shadow i need to finish badly im on a deadline
woolyfrog:
|dw:1518737333949:dw|
woolyfrog:
shadow plz
Shadow:
What did you do ._.
woolyfrog:
i did 20 times 180
woolyfrog:
what should i do
woolyfrog:
plz help
Shadow:
You do \[20 \times \frac{ \pi }{ 180 }\]
Shadow:
The conversion factor is pi/180, not 180.
woolyfrog:
oh
woolyfrog:
so how do i do it?
woolyfrog:
20 times pi/180
Shadow:
Yes
woolyfrog:
how do i do 20 to pi?
Shadow:
\[5 \times \frac{ \pi }{ 7 } = \frac{ 5\pi }{ 7 } \] Therefore \[20 \times \frac{ \pi }{ 180 } = ?\]
woolyfrog:
20pi/180
woolyfrog:
shadow
woolyfrog:
i need to finish because i have to practice singing i dont have a lot of time plz
woolyfrog:
rip
Shadow:
Simplify
woolyfrog:
9pi/1
woolyfrog:
|dw:1518738446982:dw|
Shadow:
\[\frac{ \pi }{ 9 }\]
Shadow:
20/180 = 1/9
woolyfrog:
i was close
Shadow:
You keep putting the number that's supposed to be on the bottom, on the top ._.
woolyfrog:
lol
woolyfrog:
we did it! and now i can use it in the future
Shadow:
Lol
woolyfrog:
1. Arc length between two cars or compartments (I have 30 cars in the Orlando eye)
woolyfrog:
ssssshhhaaaadoooowww
Shadow:
What's the radius of the Ferris wheel?
woolyfrog:
60
Shadow:
Formula for Arc Length: \[(\frac{ n }{ 360 }) 2\pi r \]
Shadow:
Where n is the degree of the central angle
Shadow:
Now you see why we solved for the central angle of a section?
woolyfrog:
yea
woolyfrog:
the degree is 12
Shadow:
So how do we set this up?
woolyfrog:
(12/360))2pi(60)
Shadow:
Solve
woolyfrog:
do i do 12 divide by 360?
Shadow:
yes
woolyfrog:
ok 30 2pi60
woolyfrog:
i dont know what to do next
woolyfrog:
|dw:1518739134337:dw|
Shadow:
How did you get 30
woolyfrog:
360 divided by 20
woolyfrog:
gtg
Shadow:
You do 20 divided by 360.
Shadow:
You have been reading it incorrectly ._.
Shadow:
*12 divided by 360. Don't know why you wrote 20 xD
woolyfrog:
Oh lol lets continue this tomorrow
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