00:02
All right.
00:04
Here in number 36, we want to convert 315 degrees to radiance.
00:11
And it's a very simple process.
00:15
We just have a very basic conversion ratio.
00:19
If you want to convert from degrees to radiance, you're going to take the angle you're given and multiply by the conversion ratio of pi to 180 degrees.
00:31
315 degrees happens to be a very common angle in trigonometry.
00:37
You probably don't recognize that or know that now, but you're going to find in the coming sections in your textbook that 315 is very common because of its importance to the special right triangles and the unit circle.
00:54
You'll see what i mean soon, i'm sure.
00:56
But for now, we just want to convert out of degrees by multiplying 350 degrees by pi over 180 degrees.
01:09
And so of course the degree units are going to cancel out because we're converting to radiance.
01:17
And we're left with 315 pi over 180.
01:21
Now that can certainly be reduced, but for a lot of us it might take a few steps to reduce it all the way down.
01:31
So i recommend using a calculator or desmos is awfully effective at doing this for us.
01:39
Let's let me demonstrate...