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## 4th grade

### Unit 12: Lesson 1

Understanding angle measurement# Measuring angles with a circular protractor

Lindsay measures angles with a circular protractor.

## Want to join the conversation?

- i am lerning so much and thanks to you(5 votes)
- Around0:34the voiceover says you can go up to 360 degrees in an angle. I don't see 360 degrees on the protractor though. So, if it starts at 0 degrees will it end at 0 degrees to make a 360 degree angle? Sorry if I made that question confusing.(2 votes)
- You're right, both legs of a 360 degree angle would be in line with each other, same as with a 0 degree angle. The difference is that you're starting at 0 and measuring all the way around the circle, instead of starting at 0 and moving the endpoint zero degrees.

It would be accurate for the protractor to have a 360 degree mark there, but it doesn't because you can figure out that it's the same position as zero, just as you've done. It's sort of like how a clock with minute markings doesn't have 60 minutes marked, only 0.(6 votes)

- Who is this person speaking in this video(4 votes)
- Can you use a semicircle protractor to measure up to 360 degrees?(3 votes)
- It is always possible to flip a semi-circle protractor.(3 votes)

- Are all angles in circles obtuse?(3 votes)
- No, technically circles don't have any angles, since it is a closed, curved line. An angle is never closed.(3 votes)

- How many degrees are in a quarter of a full turn?(3 votes)
- How many degrees are in 1/3 of a full turn?(3 votes)
- There are 360 in a full angle. 360/3 = 120. Your answer will substantially be 120. - Carbon(1 vote)

- why is this one a girl normally its a boy.(3 votes)
- ho many 60 degree angles does it take to make a full turn(1 vote)
- Since there are 360% in a full turn there are 6 sixties degrees. 360 divided by 60 is 6(5 votes)

- who made khan academy(2 votes)
- Sal Khan invented Khan Academy.(2 votes)

## Video transcript

- [Voiceover] Measure
the angle in degrees. So here we have this blue angle that we want to measure in degrees, and it's sitting on top of this circle. That circle is actually a protractor. Sometimes we see, and maybe
what you're used to seeing, is protractors that are
more semicircle shaped, something like this. And those semicircle protractors measure from zero to 180 degrees. Which is good, but a
circle is even better. A full circle is better because an angle can measure up to 360 degrees. So a full circle allows us to
measure and angle of any size, instead of only an
angle up to 180 degrees. Now the way we're gonna measure this angle is the same way we would
on a semicircle protractor. The first thing we wanna do is make sure one of our
rays lines up to zero. So here's one of our rays, and it's lining up to
zero on the protractor. So that's nice, it's
already lined up for us. And then we're gonna measure the opening all the way to the other
ray, to right here. And so if our angle only
measured opened up this far, it would be a 10 degree angle. If let's say it opened to here, it would be a 50 degree angle. But our angle measures
all the way to here, to the 160 degrees. So 160 degrees is the
measure of our angle. And again, when you measure
on a circle protractor, or any protractor for that matter, you're gonna line one ray up to the zero, and then measure the opening
'til you get to the other ray, which in this case
opened up to 160 degrees.