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Math Help - answers given in degrees and radians

  1. #1
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    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
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  2. #2
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    e^(i*pi)'s Avatar
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    Re: answers given in degrees and radians

    Quote Originally Posted by David Green View Post
    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 2\pi = 360^o

    If you divide both sides by 12 you get \dfrac{\pi}{6} = 30^o 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.
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  3. #3
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    Re: answers given in degrees and radians

    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?
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  4. #4
    Super Member Quacky's Avatar
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    Re: answers given in degrees and radians

    \frac{\pi}{6}=30^o Why would you be 1 degree out? Just do the conversions carefully and you'll be fine.

    1 degree =\frac{\pi}{180} radians.

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

    For example, if you measure something as 54^o, then this is 54\times\frac{\pi}{180}^c

    =\frac{3\pi}{10}^c

    If you have \frac{\pi}{8} radians, this is  \frac{\pi}{8}\times\frac{180}{\pi}^o
    =22.5^o

    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.
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  5. #5
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    Re: answers given in degrees and radians

    Quote Originally Posted by Quacky View Post
    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
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    Super Member Quacky's Avatar
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    Re: answers given in degrees and radians

    Quote Originally Posted by e^(i*pi) View Post
    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, .
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