Radians Examples

Convert 35 degrees into radians.

For our latest magic trick, we're going to transform this ordinary angle into an extraordinary radian.

35 degrees \times

Magicians normally don't reveal their secrets, but we'll make an exception today. We multiply by our conversion factor, putting the degrees on bottom so that they'll cancel the degrees we started with.

Once you know the trick, it's easy to see how this kind of magic works. If only we could get our Expecto Patronum to work so easily.

Convert 300 degrees into radians.

We follow the same steps as before.

Then we find the answer, likity split.

Convert 2 radians into degrees.

Oh ho, this is sneaky.

Just because π is often included in radian measures doesn't mean it always is.

~115 degrees

The first rule is: Don't talk about Math Club. The second rule, though, is: Always check your units.

Convert radians into degrees.

A little bit of multiplying, a little bit of canceling…

67.5 degrees

We're done in time to catch a movie.