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Release 8.7.1


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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


Transformation:

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

Transformation Name New formula
Parameter: Formula type Single row formula
Parameter: Formula ROUND(RADIANS(a01), 4)
Parameter: New column name '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:

Transformation Name New formula
Parameter: Formula type Single row formula
Parameter: Formula (180 - a01) / 2
Parameter: New column name 'a02'

Convert the above to radians:

Transformation Name New formula
Parameter: Formula type Single row formula
Parameter: Formula ROUND(RADIANS(a02), 4)
Parameter: New column name 'r02'

Create a second column for the other congruent angle:

Transformation Name New formula
Parameter: Formula type Single row formula
Parameter: Formula ROUND(RADIANS(a02), 4)
Parameter: New column name 'r03'

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

Transformation Name New formula
Parameter: Formula type Single row formula
Parameter: Formula ROUND(RADIANS(a02), 4)
Parameter: New column name '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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