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Parts of a circle

Parts of a Circle
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Parts of a circle

Discussion and questions for this video
At 1:58, is the circumfrence like the perimeter?
Yes, it is like the perimeter. Like an angular perimeter.
I wasn't sure of where to put this, but It's good enough. I need help with The Arc Exercise. Can someone help?
Me too. There aren't enough stages in the hints to explain how to do the exercises, and no video.
where is the part that explains the arc of a circle? can you explain?
An arc is just an unbroken portion of a circle's circumference. In other words, if you were to trace around a circle but not go all of the way around (no matter how little or how much), that is an arc.
How do you even spell radius(In plural)?
is it Radiusi or something?
the plural of radius is simply radii
What is the center?
The center of a circle is the point at which the distance to any part on the circle is exactly the same distance. The center is at the middle of the diameter and bisects the diameter to form two equivalent radii.
I made a program that shows what Sal did:
https://www.khanacademy.org/cs/circle/1828421139
The center is also called the origin. The formula A=πr² means that the area of a circle is equal to its radius times the radius times pi. The other formula C=2rπ means that a circle's circumference is equal to two radius (or diameter) times pi.
Hope this helps, if you don't understand!
How many radiis are in a circle.
EG,

The radius (plural: radii) of a circle is a line from the center of the circle to any point on the circle. So in one sense, you could say there are an infinite number of radii, because there are an infinite number of lines you could draw from the center of the circle to some point on the circle.

But in another sense, each circle has 1 radius… because although you could draw that line an infinite number of ways, EVERY single one of them would have the same length. So people typically say things like, "that circle has a radius of 3 units," or "this circle's radius is 7 centimeters."
are diameters of the same circle equal if radii of the same circle are equal?
Yes. The diameter is 2 times the radius. So, for example, if the two radii were 1 then their diameter would be 2 for both of them. You can also think of it this way if r=r then 2r=2r.
who made or found the area of a circle
*Archimedes* figured it out a long time ago.
Learn more about him here - http://en.wikipedia.org/wiki/Archimedes
the center on a soccer field has a diameter of 20 yards. what is the circumference of the circle?
Is pi equal to 22/7?
Pi is irrational, and so it cannot be written as a fraction. The decimal itself never ends. 22/7 is slightly larger than what pi is, but you can use it for the purpose of calculations.
What is a radiis
the radis is a line that goes on until the middle of the circle
Hello can some one help me I was doing the practice problem and it said I'm close to the right answer but I don't know how to put the right answer can some one help me at least show me how to type it in. Here's what it said Your answer is close, but you may have approximated pi. Enter your answer as a multiple of pi, like 12 pi or 2/3 pi
What did you answer? If you are multiplying, say, X, by pi, write Xpi
Thank you so much for your help
I don't understand how to do Circles and arcs can anyone help explain this to me?
well learnhow to add and subtract your inequality
So, there can be multiple radius (or radii or whatever) and diameters but there's only one center right?
There are an infinite amount of lines protruding from the center, so therefore there are infinite radii and diameters. And because only one place is the exact middle of the circle, you are right, there is only one center.
At 0:49, he says you can have more than one radius. Does this mean that I could have more than one diameter?
You can have more than one diameter but they are all the same length.
where did pi come from and who worked out pi's formula
#yoloswaglikaboss
I am confused why do we use pi in this equation
I think that's because almost all equations (if not all) relating to circles use pi
what is the circumference though
The circumference is the distance around a circle. It's like the perimeter, only using a special term.
are there parts of a oval or is it impossible to specify an oval?
Stick with the geometry videos and you'll find out pretty soon!
if a protracror has a specified set of pionts ( 108) could you set two of them above another to make a circle you weould have 360 specified pionts but dosnt a circle have an infinite set of points
You need to clarify "point" and "degree." A point is one of the undefined terms of Geometry. It just means a place or spot. It doesn't even have any dimension - it's just there! But that helps us build up some kind of understanding of all the shapes around us.

The markings on the protractor, on the other hand, are degrees. It's a specific way of measuring how far apart two segments are at the vertex where they meet. We also use degrees to talk about how far around a circle you might travel in connection with a central angle (any angle whose vertex is the center of the circle).

So circles have both things going for them, but they're two different things: there are an infinite set of points or spots going around a circle because a point can be any size...or really, has no size at all (which is why there's an infinite number of them); and there's 360 degrees in rotating all the way around a circle.
where did tau come from?
Here is a video that explains why some people have suggested that Tau is better than pi
https://www.khanacademy.org/math/trigonometry/basic-trigonometry/long_live_tau/v/tau-versus-pi
Is there a part of a circle called the chord? Did Sal mention it?
A line that touches two points on a circle is a chord.
why dose he always repete things
sal just wants to make sure he gets his point across. some people need to hear things more than once
what is the difference between the Perimeter and area?
Perimeter is the distance around the edge. Area is the space bounded by the perimeter.
Example:
If you had a square plot of land that measured 3ft on each side, then the perimeter would be 3 + 3 + 3 + 3 = 4 x 3 = 12 ft. The area would be 3 x 3 = 9 sq ft.
How come sometimes when you're trying out to find the diameter of something, cause I know that diameter = 2 times the radius, say for example, you're trying to find the diameter of 14pi, you would take half of that and originally multiply it by 2, but the answer would only result in half the number (7)? Can someone explain this to me?
The diameter is two times the radius and the circumference is two times the radius times pi, so since the diameter is two times the radius, the diameter is simply the circumference divided by pi, which in your case results with 14 instead of 7(you found the radius).
What is a circumference? I do it in my course one class in sixth grade, and I know how to do it, but I don't know what circumference means. Please comment or answer my question!
Circumference is the distance around a circle.
pi actually came from ancient India under the rule of the gupta king Chandhra Gupta II during India's golden age
That's interesting , how did they come up with that.
at 1:58, is the circumfrence like the perimeter
The circumference is the same concept as the perimeter, but make sure to not mix them up.
in a circle what part is like area
The inside of the circumference.
but even if pi is a series of 9 numbers put together in an order that doesn't repeat, shouldn't it have an end of the combinations? :/
like, 3.14159... and it's in a specific order, and it doesn't repeat. shouldn't it be ending somehow?
Good question. If you include 0, pi is actually made up of combinations of 10 numbers put together. The number of possible combinations of 10 digits is 10^10 = 10 billion. Now that's a lot!

But does pi end or stop being irrational after 10 times 10 billion digits? The answer is no. In reality, the fact that there are 10 billion possible combinations of 10 digits has nothing to do with the properties of pi. When mathematicians say pi has absolutely no repetition in its decimal sequence, they really mean it.

The combinations of digits don't repeat themselves in any sort of pattern. In other words pi is NOT periodic. Pi is an irrational number and that means that it can't be represented as a fraction and there are literally an infinite number number of digits in non-repeating sequences after its decimal point. A periodic number would be something like 0.123412341234... , 1.67516751675..., or even a number with all 10 billion combinations of 10 digits repeating themselves infinitely would be considered periodic. Such numbers all have repeating sequences of digits, but pi doesn't. It may appear to to be periodic, but it really isn't because each apparent "pattern" you might notice in pi is totally random and it's followed by another random combination of digits unrelated to the placement of other random combinations of digits within an infinite sequence of digits.

Here's an overview of proofs that pi is irrational that may be worth looking at: http://en.wikipedia.org/wiki/Proof_that_%CF%80_is_irrational
Warning: The math is rather advanced.
how can u find the perimeter??
The perimeter is actually the circumference. It is found by multiplying pi (3.14) times the diameter
can the radius be anywhere? i know it has to be half of the diameter. so where the diameter is, half of that is the radius?
That didn't really answer my question though. yes to the 1st one or second one? Thank-you!
If you have the area of a cricle how do you find it's circumference.
the are is r squared so if its 49 the radius is 7 and with that info you can find the circumference
I know that pi is approximately 3.141592653589793238462643383279, but what are tau and e? What are their approximate values? And how and where do we use these irrational numbers?
(for example, pi is very useful when dealing with the area and circumference of circles)
the core is the middle of earth so from earth crust 2 core thats radius ####Smart (:
So does radius x 2 = diameter?
yes,
example if the radius of the circle was 3cm...
the diameter would be 3 * 2 = 6cm
How is knowing how to find out the circumference and radius of a circle help me in life?
We use circles a lot in our society. If you work in manufacturing, it is important for tires, gears, belts, pulleys, etc. Circular geometry is the basis of much of our trigonometry, (Have you heard of the "unit circle"? You will!) which is used in basic physics, architecture, road design, and many other fields.
My question is that I was told that pi is equal to 3.14 and 22/7 is that true or not?
No, neither is true. π is an irrational and transcendental number. You cannot express it exactly by any algebraic fraction or decimal.
So, 3.14 or 22/7 are *very* rough approximations of π.
If you want better approximations, 3.1415927 should cover most needs. For a fraction I suggest 355/113 which is accurate to 7 digits.
What is the difference between a sector and a chord of a circle ?
A chord is a line segment that connects two points of a circle. A sector is like a pie slice that is made up of two radii and the arc between them.
If you have the circumference of a circle how do you find itś radius.
Please help.
Circumference = 2*pi*radius
Solve for radius, and you see that:
radius = circumference/(2*pi)
this was areally confusing and hard to follow, is there an easier video to explain this kind of struff
Sorry if this isn't the answer you were looking for, but the video basically says that:

1) A circle shows all the points at a certain distance from a certain point. This certain point is called the *Center of the circle*. This certain distance is called *Radius*.

2) Doubling the radius gives the *Diameter* (which is basically two radii put together).

3) The *Circumference* is the length of the circle. You could say that it helps you to measure how large the circle is i.e a bigger circle has a larger circumference. If you imagine that the circle is formed by a string, the length of the string is the circumference.

It is actually quite simple, and I would recommend viewing the video a couple of times if it isn't immediately obvious. If you have any further queries, you can always ask a more 'to the point' question like "What is [something]" or "What does Sal say in the video at XX:XX?".
1:10
so there are a infinate number of raidus?
yes, a circle has infinite radii, as you can keep on changing the angle by a small amount
In 1:03 can a radius come from outside of the circle also?
A radius is a line from the center of a circle to the circumference.
what is the formula for diameter of a circle
the diameter is two times the radius ( a straight line half way across the circle).
So the diameter the 2 times the radius or the radius squared?
The radius is a line that goes from the center to the edge. The diameter is a line that goes across the circle, through the center. So the diameter has to be 2 times the radius.
when multiplying pie can we just use 3.14 only
Yes normally that is good enough. It is spelled "pi" and not "pie" though. :) See my other answer above about how many digits to use for pi.
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is it possible to have a diameter of a chord?
The diameter is the longest chord of the circle.
where can i get videos on arc properties and tangent properties???
is pi the only math symbol that represents a number
Nope. e and i are other popular ones
where did pi come from and who worked out pi's formula
some greek person figured out pi
i don't understand about the pi thing. when i was in school we always wrote it out now you don't. I just don't understand
0:00 all the way down to 2:01 hasn't helped me at all.
Try listening to the video again till you understand the video on Parts of a Circle. You could also try listening to the video before the one on Parts of a circle.
can you please add a video on circle theorems
thank you!!!
Thank you Very Helpful. So Circumfrence is the whole circle?
can you use subtraction for this
how do i dilate this circle
Why do you have a scratch pad that doesn't have #'s predrawn?
Because you might need to do calculations
how many diameters can you put in one circle
it depends on how wide the diameter is.
How do you measure the circumfrence?
2 π r (two times 3.141 times the radius)
How do you find the lenght of an arc and the central angle of a circle?
can u find the radius of a cirlce with just the area?
yes. if you want to find the radius, just square root the area and divide by pi!
How many numbers are in pi?
Pi is an irrational number, and it doesn't have a repetition pattern or finite number of digits. I'm not sure, but I think the most digits mathematicians calculated of pi is something around 205 million digits.
How do you find the measure of the arc?
People say there is something about a chord. What is a chord and what is it's place in a circle?
A chord is a line segment joining any two points in a circle. Diameter of a circle is the longest chord of any circle.
At 0:07 did you said the circle?
3.14=pi. so, how do you multiply pi by a million numbers all at one time?
is the circumfrance like the diameter ?
Sure, circumference is like the diameter, except that it is about 3.14 times as long as the diameter, and it is curved into a circle shape. Circumference is the distance around a circle. Diameter is the distance across.
why is circumference named circumference and not perimeter
Latin root is circ meaning round. Circum meaning around. Thus the circumference is the distance "around" an object.
I have heard the term, but what is a chord?
A chord is a line segment within a circle that does not have to go through the center of the circle. Diameters are the longest chords in a circle because they go through the center. Chords become shorter as they get farther from the center of the circle.
Is the formula really necessary though?
these only 4 parts of a circle?
So the circumference is like the "perimeter" of the circle, correct?
That is correct. It is a special term to indicate that you are talking about a circle.
What is the segment of a circle and how would you find the area?
Does anyone no why the video box is not registering as being watched (in the green) when your done watching? Its really screwing with my ability to know what I have covered when reviewing.
what is the magnitude of a circle?
if pi is infinate why do we say 3.14?
Pi is an irrational number, which means that it goes on forever and forever (not infinity). We use 3.14 because it is easier and is pretty accurate. You wouldn't want to use 3.14159265358979323... as one of your factors.
how do you change from radiant to degrees step bye step how do you know when to use it?
180 degrees is pi radians. So how much is 90 degrees? Easy, right?
how do you find the measurement of the arcs?
(Angle measurement of arc/360)*(pi*diameter).

What this means is that the arc is a portion of a circle, a fraction. The distance around the circle would be the circumference.
What is the proof that the tangent of a circle is perpendicular to the diameter that intersects the tangent?
Does the diameter always go straight across?
Yes, the diameter is a going to always be a straight line.
Hi, I'm having a problem proving that a circle is identical/ lies on a circle,
Let's say I have 4 points. A being (-3,1) B (2,4) C (5,3) D=(6,2) with center of (2,-1)
Any ideas?
Ok, so I don't understand the videos and I reviewed the hints in the skill Radius Diameter and circumference but I still don't get it can someone please explain it in a simple way? (Please vote up)
What times pie equals circumference?
The diameter x Pi equals the circumference
a line passing through 2 points of a circle!
Is there any other parts of a circle?
Thanks
These are the most basic components of a circle. There are other parts associated with circles like the chord (a line drawn between two points in the circumference which is not the diameter), arc (a curved portion of the circumference), versine (a line perpendicular to to a chord from its midpoint to the corresponding arc), tangent (an external line drawn to a circle that touches a single point on its circumference) etc.
Are there any other videos that can help me with this topic - I DON'T UNDERSTAND!!!
The video, Area of a Circle might help you find out the different parts of a circle.
i just reealized who is the man that is speaking thier?
who made up the names for the circle
Is the circumfrence like the perimeter
Yes, the circumference is the perimeter. The perimeter of a circle to be exact.
How do u find the diameter
gow do u find pie charts on khan:-)
this did'nt tell me anything i needed to know on radius diameter and circumference
at 1:08 is the you make the senter line. does that help make this easier?
this gets kinda confusing but thx for your help
.
Try to understand the concept and practice it until u get it and then u advance yourself to next step.
I need help on how to memorize the difference.
how do i find the circumference of a circle
Circumference is equal to 2 * pi * the radius of the circle, or pi * diameter since 2* radius = diameter.
i thought that a circle could n't be measured until i found ou a lil piece at the top is flat.But is their another way to maesure a circle?
Report a mistake in the video
Example:

At 2:33, Sal said "single bonds" but meant "covalent bonds."

Report a mistake in the video


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