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### Course: 4th grade > Unit 12

Lesson 1: Understanding angle measurement# Angles in circles word problem

Lindsay solves a word problems about angles as part of a circle.

## Want to join the conversation?

- Why is she saying so many nonsense(5 votes)
- I have a question. The dial above doesn't even go around all the way with all the settings.It just ends at high. So how can Lindsay say that the middle is 180 degrees? I mean, I know a straight angle is 180 degrees but if it doesn't go all the way. . . isn't it like those comparing number lines where if the number lines itself aren't the same length as the other number line it would be hard to judge or maybe even not-able-to-be-solved? Thanks. Please answer.(4 votes)
- So, here Lindsay means that the middle (180 degrees) is the middle of the circle, not the middle of how far the dial can turn.(2 votes)

- isn't a 180 dergree angle just a line, not 2 rays?(1 vote)
- It is both a line and two rays. At11:26(3 votes)

- hi I am confused about how did you do the angles(2 votes)
- Nice but me dont get(2 votes)
- 100 and 35 degrees... skipping the "and" just sounds so jarring.(2 votes)
- what about if you don't have picture?(2 votes)
- she is giving an example with a picture in it(1 vote)

- What is angles in circle?(2 votes)
- In a circle, an angle is formed by two intersecting lines which start from the center of the circle and reach up to the circumference. The measure of an angle in a circle is defined as the length of the arc it cuts off, divided by the radius of the circle. This measure is usually expressed in degrees or radians. The central angle of a circle is an angle whose vertex is at the center of the circle, and its adjacent sides are radii of the circle. I hope this helps!(1 vote)

- how do you get 360 dgeze(1 vote)
- So, to make a 360-degree angle with a protractor, draw a line, ray, or line segment. Place the center point of that protractor at any endpoint of the line. Trace the circle given at the center around the endpoint. That will be the required angle of 360 degrees.(2 votes)

- what is 1+1+3+8+100000000000(1 vote)

## Video transcript

- [Voiceover] If Arianna
turns the stove dial 135 degrees to the right, what setting will the dial be on? So two very important things up here. First she's turning the dial 135 degrees. And which way is she turning the dial? She's turning the dial to the right. So here's our dial it's facing up. This red dial right here. Facing up sort of like on a clock. And we're going to be turning
the dial to the right. And how far to the right? 135 degrees. So this dial will turn until
it's reached 135 degrees. So how can we figure out if we start turning this dial when to stop? When it's reached 135 degrees. Well, one common way would
be to use a protractor. We could set up our protractor, measure out 135 degrees. But in this case we can't do that 'cause we don't have a protractor. So let's use some other information. Some other stuff we know about angles to see if we can solve this. One thing I know, one
angle that we see a lot is a 90 degree angle. And a 90 degree angle if we start up at the top like our dial and turn 90 degrees, we're gonna end up with
an angle like this. An angle where we could put a square in the middle and finish the square. Well it's like a square angle. So this is a 90 degree angle. So coming over to our dial, if we start at the top
and we go 90 degrees. So we start here at the
top and we go 90 degrees, we'd end up on the low setting. 90 degrees. But we're not going 90 we're going 135 which is more than 90 degrees. So here's one clue. We know we're going farther
than the low setting. We don't know how much farther. We're definitely gonna
go past the low setting. Another angle I could use to help me is the straight angle. 180 degrees. If 180 degree angle again starts at the top like our knob is currently. Like our dial. It will go all the way around until we have a straight angle like this. So again, looking at our knob, if we started at the top and we went around 180 degrees, we would end up facing
straight down at medium. This would be 180 degrees. So where does 135 fall? Well 135 falls somewhere
in between 90 and 180. 90 was not far enough of a turn. And 180 was too far of a turn. So we want something in the middle. And what setting is in the middle of the 90 and the 180? Right here in the middle of them is medium-low. So turning our stove to
135 degrees to the right will set our stove to medium-low.