Thread: answers given in degrees and radians

Please advise,

if a question asks for angle measurements in both degrees and radians, then gives typical answers where only two are correct, am I right in thinking that the radian answer would be presented as say example;

1/6 x pie, being the radian answer, whereas 0.5 = 30 degrees.

I know that 1/6 x pie is not the same as 30 degrees just before anyone jumps at me for that statement made!

Thanks

David

Originally Posted by David Green

Please advise,

if a question asks for angle measurements in both degrees and radians, then gives typical answers where only two are correct, am I right in thinking that the radian answer would be presented as say example;

1/6 x pie, being the radian answer, whereas 0.5 = 30 degrees.

I know that 1/6 x pie is not the same as 30 degrees just before anyone jumps at me for that statement made!

Thanks

David

We know from our geometry that

If you divide both sides by 12 you get so pi/6 radians is equal to 30 degrees.

You'd be right in thinking that the radian answer would be represented in term s of pi.

How does that stand in an answer to a question then?

pi/6 radians = 31 degrees?

I was always lead to believe that each degree equals 60 minutes, so would 1 degree out not be considered significant in an answer?

Why would you be 1 degree out? Just do the conversions carefully and you'll be fine.

degree radians.

Knowing the above is all you need to convert between them.

For example, if you measure something as , then this is



If you have radians, this is


I first encountered radians whilst studying A levels at age 17 in the UK. My examining body, for conversions, only accepted exact conversions between degrees and radians.

Maybe your system is different, I can't say.

Originally Posted by Quacky

I first encountered radians whilst studying A levels at age 17 in the UK. My examining body, for conversions, only accepted exact conversions between degrees and radians.

Maybe your system is different, I can't say.

Same here (although I was 16 when taught because my birthday is in June, essentially bucking the trend of younger kids doing worse ), IIRC I was with AQA for A-Level

Originally Posted by e^(i*pi)

Same here (although I was 16 when taught because my birthday is in June, essentially bucking the trend of younger kids doing worse ), IIRC I was with AQA for A-Level

Actually, now that you mention it, I was 16 too - I seem to have forgotten my own birthday for a moment . And AQA are renowned for being fairly vicious with their courses for math, .