# EXAMPLE - DEGREES and RADIANS Functions

This example illustrates to use the DEGREES and RADIANS functions to convert values from one unit of measure to the other.

Source:

In this example, the source data contains information about a set of isosceles triangles. Each triangle is listed in a separate row, with the listed value as the size of the non-congruent angle in the triangle in degrees.

You must calculate the measurement of all three angles of each isosceles triangle in radians.

trianglea01
t0130
t0260
t0390
t04120
t05150

Transform:

You can convert the value for the non-congruent angle to radians using the following:

`derive type:single value: ROUND(RADIANS(a01), 4) as: 'r01'`

Now, calculate the value in degrees of the remaining two angles, which are congruent. Since the sum of all angles in a triangle is 180, the following formula can be applied to compute the size in degrees of each of these angles:

`derive type:single value: (180 - a01) / 2 as: 'a02'`

`derive type:single value: ROUND(RADIANS(a02), 4) as: 'r02'`

Create a second column for the other congruent angle:

`derive type:single value: ROUND(RADIANS(a02), 4) as: 'r03'`

To check accuracy, you sum all three columns and convert to degrees:

`derive type:single value: ROUND(DEGREES(r01 + r02 + r03), 4) as: 'checksum'`

Results:

After you delete the intermediate columns, you see the following results and determine the error in the checksum is acceptable:

trianglea01r03r02r01checksum
t01301.30951.30950.5238179.9967
t02601.04761.04761.0476179.9967
t03900.78570.78571.5714179.9967
t041200.52380.52382.0952179.9967
t051500.26190.26192.6190179.9967
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