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Math Help - Convert from radian to degrees?

  1. #1
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    Convert from radian to degrees?

    17.5 I know to convert to degrees you must multiply time (180 degrees/pi) But I am not sure how to do this.
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  2. #2
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    Multiply your two numbers together to get the value in degrees
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  3. #3
    A riddle wrapped in an enigma
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    Hi homeylova223,

    Some examples might help:

    [1] \text{Convert }\frac{2\pi}{3} \text{ radians to degree measure.}

    \frac{2\pi}{3}=\frac{2\pi}{3} \times \frac{180^{\circ}}{\pi}=120^{\circ}

    [2] \text{Convert }17.5 \text{ radians to degree measure.}

    17.5 \times \frac{180}{\pi}=\frac{3150}{\pi}\approx 1002.7^{\circ}


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  4. #4
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    Quote Originally Posted by homeylova223 View Post
    17.5 I know to convert to degrees you must multiply time (180 degrees/pi) But I am not sure how to do this.
    Hi homeylova223,

    we multiply by 180 and "divide" by \pi

    This converts radians to degrees.

    180^o={\pi}\;\;radians

    \displaystyle\frac{180^o}{\pi}=1\;\;radian

    \displaystyle\ x\frac{180^o}{\pi}=x\;\;radians

    Then, whatever "x radians" is, place it into the left-hand side to obtain the angle in degrees.
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