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# Simple way to translate degrees into radians?

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1. I'm doing edexcel c2 and have a table showing angles in degrees and radians, but the table is big and I won't have it in the exam. East way to convert degrees into radians anyone, and vice versa?
2. Degrees to radians: multiply by
3. Why do you need to convert between them?

Just know that
4. Into Radians: Number of degrees x .

Into Degrees: Number of radians x .
5. (Original post by EierVonSatan)
Why do you need to convert between them?

Just know that
On the exam they can ask you to convert an angle you have found into radians.
6. The brain-dead calculator method is:

The way to remember this is that (which you should know anyway) so you need to multiply by or . To decide which one, it's fairly obvious that 180 is a lot bigger than , and any given angle is represented by 'more degrees than radians', so to go from radians to degrees you multiply by the top-heavy fraction, and to go from degrees to radians you multiply by the bottom-heavy fraction.

For most angles this brain-dead "hammer the calculator" method isn't very useful and you certainly won't learn much from it. But you should remember that represents a full circle, so you can work out the conversions by taking appropriate fractions of this. For instance 90° is a quarter of a circle, and so it is radians. And 30° is a twelfth of a circle, so it is radians. And so on.
7. (Original post by nuodai)

The way to remember this is that (which you should know anyway) so you need to multiply by or . To decide which one, it's fairly obvious that 180 is a lot bigger than , and any given angle is represented by 'more degrees than radians', so to go from radians to degrees you multiply by the top-heavy fraction, and to go from degrees to radians you multiply by the bottom-heavy fraction.

For most angles this brain-dead "hammer the calculator" method isn't very useful and you certainly won't learn much from it. But you should remember that represents a full circle, so you can work out the conversions by taking appropriate fractions of this. For instance 90° is a quarter of a circle, and so it is radians. And 30° is a twelfth of a circle, so it is radians. And so on.
Oh thanks that makes so much sense now! I think my teacher tried explaining it like that but kind of failed.

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