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## 7th grade (Illustrative Mathematics)

### Unit 3: Lesson 1

Lesson 2: Exploring circles# Labeling parts of a circle

CCSS.Math:

Radius, diameter, center, and circumference--all are parts of a circle. Let's go through each and understand how they are defined. Created by Sal Khan and Monterey Institute for Technology and Education.

## Want to join the conversation?

- What is the center?(1 vote)
- bruh he just explaind it its in the center of the circle(6 votes)

- why is half of the diameter called the radius(18 votes)
- it not the line through the circle is the diameter and the radius is half of the circle(3 votes)

- at1:34what dont undertsand bro(5 votes)
- The circumference of a circle is basically the distance around a circle. For example, if you had a park or other outdoor area that was shaped in a perfect circle, and you walked all the way around the edge of it, you would have walked along the circumference of the circle. Basically, you can think of the circumference as the perimeter of a circle.(6 votes)

- what does the 'd' stand for?(3 votes)
- D stands for diameter(2 votes)

- why are people answering people questions after a couple of years(2 votes)
- Cuz it’s happening rn(3 votes)

- I am confused why do we use pi in this equation(2 votes)
- I think that's because almost all equations (if not all) relating to circles use pi(6 votes)

- how do you find the diameter, radius, and the circumference of a circle(4 votes)
- The circumference of a circle is equal to pi times the diameter. The diameter is two times the radius, so the equation for the .circumference of a circle using the radius is two times pi times the radius.

Solve the equation for the diameter of the circle, d= C/π. In this example, "d = 12 / 3.14." or "The diameter is equal to twelve divided by 3.14." Divide the circumference by pi to get the answer. In this case, the diameter would be 3.82 inches.(1 vote)

- Is RADII singular form of RADIUS(3 votes)
- Radii (pronounced ray-dee-eye) is the PLURAL form of radius.(2 votes)

- this helped out a lot thank you(3 votes)
- Are there other types of lines with specific names (like diameter and radius) other than a radius and diameter? Are there any with specific names that do not go through the center?(3 votes)
- If there was a line across a circle that didn't go through the center, we wouldn't need to give it a name or measure it, because it wouldn't give us any useful information regarding the circle.

For instance, if the line just went across a small part near the edge of the circle, we could measure it, but we wouldn't be able to do anything with the information-- i.e., find out the area of the circle.

We can only use lines that go through or come from the center of the circle to get information about the circle. Therefor, other measures are irrelevant.

Hope this helped! :)(1 vote)

## Video transcript

Draw a circle and label the
radius, diameter, center, and the circumference. Let me draw a circle. And it won't be that
well drawn of a circle, but I think you get the idea. So that is my circle. I'm going to label
the center over here. I'll do the center. I'll call it c. So that is my center. And I'll draw an arrow there. That is the center
of the circle. And actually, the
circle itself is the set of all points that are a fixed
distance away from that center. And that fixed distance
away that they're all from that center,
that is the radius. So let me draw the radius. So this distance right
over here is the radius. That is the radius. And that's going to be the
same as this distance, which is the same as that distance. I can draw multiple radii. All of these are radii, the
distance between the center and any point on the circle. Now, a diameter just goes
straight across the circle, going through the center. From one side of the
circle to the other side, I'm going through the center. It's essentially two
radii put together. So for example, this
would be a diameter. You have one radii, than
another radii, all one line, going from one side of
the circle to the other, going through the center. So that is a diameter. And I could have
drawn it other ways. I could've drawn it like this. That would be another diameter. But they're going to have
the exact same length. And finally, we have to think
about the circumference. And the circumference
is really just how far you have to go to go
around the circle. Or if you put a
string on this circle, how long will that
string have to be? So what I'm tracing
out in blue right now, the length of what I'm tracing
out, is the circumference. So right over here, that
is the circumference. And we're done.