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Convert from Radian Measure to Fractions on the TI-83 Plus

You can use the TI-83 Plus graphing calculator to express radian measures as a fraction, if possible. It’s much easier to know what the angle looks like in this form. You can quickly sketch the angle

image0.png

but it would take me awhile to sketch the angle .5235987756 radians. It turns out that they are the same angle. To convert a radian measure to a fractional multiple of

image1.png

use the following steps:

  1. If the radian measure is not the last entry in the calculator, enter it.

    The last line indicates that the radian measure of

    image2.png

    is the last entry in the calculator.

  2. Press

    image3.png

    to divide the radian measure by

    image4.png
  3. Press

    image5.png

    to display the fractional multiple of

    image6.png

    If the calculator can’t convert the decimal to a fraction, it just redisplays the decimal.

    The 1/6 in this figure indicates that the decimal radian measure (.5235987756) is equal to

    image7.png

    thus showing that

    image8.png

    is the polar form of the point

    image9.png
    Converting a decimal (radian measure) to a fraction.
    Converting a decimal (radian measure) to a fraction.
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