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Math Help - Converting between Radians and Degrees - help?

  1. #1
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    Converting between Radians and Degrees - help?

    Hello, I'm coming here because I need help understanding a few math concepts, and this looks like a friendly community .

    At the moment, I need help learning how to quickly and easily convert between radians and degrees. I am schooled over the internet, and they don't go into much detail in this section of the textbook.

    The examples they give are:

    Convert 300 degrees into radians.

    It then shows the formula: 300 degrees = 300 degrees ((pi)radians/180 deg.)

    giving the final answer of 5/3pi radians. How do I arrive at this answer?


    The other example is:

    Convert -3/4pi radians to degrees.

    For this one the formula is not given, but they end up with -135 degrees.





    Any help would be appreciated
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by AlderDragon View Post
    Hello, I'm coming here because I need help understanding a few math concepts, and this looks like a friendly community .

    At the moment, I need help learning how to quickly and easily convert between radians and degrees. I am schooled over the internet, and they don't go into much detail in this section of the textbook.

    The examples they give are:

    Convert 300 degrees into radians.

    It then shows the formula: 300 degrees = 300 degrees ((pi)radians/180 deg.)
    the formulas are:

    \text{degrees} \times \frac {\pi}{180} = \text{Radians}

    and

    \text{Radians} \times \frac {180}{\pi} = \text{Degrees}

    so, 300^\circ = 300 \times \frac {\pi}{180} = \frac {300 \pi}{180} = \frac {5 \pi}{3}....by simplifying the fraction


    now you try the next
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  3. #3
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    Thanks Jhevon, that helped me. I did another one asking to convert 105 degrees into radians and I got 7pi/12. I'm pretty sure this is right.

    My next problem asks me to do the opposite and convert radians into degrees.

    The exact question was "Convert 7pi/5 into exact degree measure"

    Using your formula, I set up the fractions:

    (7pi/5)(180/pi)

    Then got 1260pi/5pi

    simplified to 252 degrees. Is this correct?
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by AlderDragon View Post
    Thanks Jhevon, that helped me. I did another one asking to convert 105 degrees into radians and I got 7pi/12. I'm pretty sure this is right.

    My next problem asks me to do the opposite and convert radians into degrees.

    The exact question was "Convert 7pi/5 into exact degree measure"

    Using your formula, I set up the fractions:

    (7pi/5)(180/pi)

    Then got 1260pi/5pi

    simplified to 252 degrees. Is this correct?
    yes
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