00:03
All right, here in problem number 37, just like the rest in this said, if you've looked at any of those, we want to convert 420 degrees into radiance.
00:15
It's okay that 420 degrees is beyond one revolution of a circle.
00:19
You'll learn very soon.
00:20
There's no limit to how big an angle can be.
00:23
Just keep going around the circle over and over and over again.
00:26
But that's a discussion for another day.
00:29
For now, we just need to remember that if we want to convert, from degrees to radiance, you're going to take the angle you're given and just multiply by the conversion ratio of pi over 180.
00:46
It's that simple.
00:47
That'll take you out of degrees and then you'll have a rational expression including pi and that represents your radian angle measure.
00:56
Of course, we're going to reduce if necessary.
00:59
In most cases, it is necessary, but not all the time.
01:02
So let's take our 420 degrees and we multiply by pi over 180 degrees.
01:11
The degree units will cancel putting us in radiance.
01:16
So it's 420 pi over 180.
01:20
Now, if you are concerned about having to reduce big fractions, worried about making a little mistakes or whatever, don't do it.
01:30
Use a calculator...