EXAMPLE - DEGREES and RADIANS Functions
This example illustrates to convert values from one unit of measure to the other.
Functions:
Item | Description |
|---|---|
DEGREES Function | Computes the degrees of an input value measuring the radians of an angle. The value can be a Decimal or Integer literal or a reference to a column containing numeric values. |
RADIANS Function | Computes the radians of an input value measuring degrees of an angle. The value can be a Decimal or Integer literal or a reference to a column containing numeric values. |
ROUND Function | Rounds input value to the nearest integer. Input can be an Integer, a Decimal, a column reference, or an expression. Optional second argument can be used to specify the number of digits to which to round. |
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.
triangle | a01 |
|---|---|
t01 | 30 |
t02 | 60 |
t03 | 90 |
t04 | 120 |
t05 | 150 |
Transformation:
You can convert the value for the non-congruent angle to radians using the following:
Transformation Name | |
|---|---|
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 | |
|---|---|
Parameter: Formula type | Single row formula |
Parameter: Formula | (180 - a01) / 2 |
Parameter: New column name | 'a02' |
Convert the above to radians:
Transformation Name | |
|---|---|
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 | |
|---|---|
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 | |
|---|---|
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:
triangle | a01 | r03 | r02 | r01 | checksum |
|---|---|---|---|---|---|
t01 | 30 | 1.3095 | 1.3095 | 0.5238 | 179.9967 |
t02 | 60 | 1.0476 | 1.0476 | 1.0476 | 179.9967 |
t03 | 90 | 0.7857 | 0.7857 | 1.5714 | 179.9967 |
t04 | 120 | 0.5238 | 0.5238 | 2.0952 | 179.9967 |
t05 | 150 | 0.2619 | 0.2619 | 2.6190 | 179.9967 |