00:02
So for this problem here, we're going to be looking at circles, specifically the degree measures of some pieces of circles.
00:09
So the first, the most important thing here is to realize how many degrees are in a circle, which is 360.
00:13
So there are 360 degrees in a circle.
00:15
So if we go to number one here, we can see that our circle here is divided into one, two, three, four, five, six, seven, eight, nine, ten pieces.
00:24
Therefore, we want to figure out how many degrees one slice is.
00:27
So let's do 360 divided by 10, which will give us 36.
00:30
So each triangle here, each slice, is 36 degrees.
00:34
Now, how many slices are shaded? 1, 2, 3, 4, 5, 6.
00:39
So we're going to take 6 and multiply that by 36, because that's a degree measurement, measure of 1 a slice.
00:45
And if we do 6 times 36, that will give us 216.
00:49
So the angle and degrees of the shaded portion of this circle is 216 degrees.
00:53
All right, so we want to number 2.
00:55
So number 2 is split into four sections again.
00:59
So let's do 360.
01:00
60 divided by 4.
01:02
If we do 360 divided by 4, that would give us 90.
01:06
And then if we do 90 times 3, which is how many pieces are shaded, that's going to give us 270 degrees.
01:14
Okay, moving on to the next question, we have our circle here divided into six pieces.
01:18
Let's do 360 divided by six.
01:20
If we do 360 divided by six, we're going to get 60 degrees, which means that each piece is 60 degrees.
01:26
There are three pieces shaded, so let's do three times 60 degrees, and we'll get 180 degrees.
01:32
So the next question here, our circle is split into eight pieces.
01:36
So if we do 360 divided by eight, we'll get 45 degrees.
01:41
And there are four pieces shaded.
01:43
So we're going to do four times 45.
01:47
And that will give it 180 degrees.
01:49
Also number five, your rtm and these is split into.
01:52
One, two, three, four, five, six, seven, eight, nine.
01:55
So this is split up into nine pieces...