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

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

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

is the last entry in the calculator.

2. Press

to divide the radian measure by

3. Press

to display the fractional multiple of

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

thus showing that

is the polar form of the point

Converting a decimal (radian measure) to a fraction.