We use angles all the time. How high the sun is in the sky, how much a wheel turns, how much our arm rotates or how much we turn our head...
If it wasn't for that measurement of the circular motion, we wouldn't be able to understand how the stars move or predict their positions during the course of the year (imagine how many people who would get their horoscopes wrong).
We're more used to measure angles in degrees. Pretty much everyone knows if you spin around yourself you make a 360º turn to return to the original position. Or if you stretch out your arms perpendicularly they make a 90º angle.
But in science and engineering radians are much more commonly used. I'm not going on the detail of why, but this site explains both of them quite well.
So when you need to tell a computer, for example, how many degrees it needs to rotate an image when it only accepts values in radians, this is the equations you should use:
If it wasn't for that measurement of the circular motion, we wouldn't be able to understand how the stars move or predict their positions during the course of the year (imagine how many people who would get their horoscopes wrong).
We're more used to measure angles in degrees. Pretty much everyone knows if you spin around yourself you make a 360º turn to return to the original position. Or if you stretch out your arms perpendicularly they make a 90º angle.
But in science and engineering radians are much more commonly used. I'm not going on the detail of why, but this site explains both of them quite well.
So when you need to tell a computer, for example, how many degrees it needs to rotate an image when it only accepts values in radians, this is the equations you should use:
radians = degrees x π
180
180
degrees = radians x 180
π
π
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