# 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.

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 New formula Single row formula ROUND(RADIANS(a01), 4) '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 Single row formula (180 - a01) / 2 'a02'

Convert the above to radians:

 Transformation Name New formula Single row formula ROUND(RADIANS(a02), 4) 'r02'

Create a second column for the other congruent angle:

 Transformation Name New formula Single row formula ROUND(RADIANS(a02), 4) 'r03'

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

 Transformation Name New formula Single row formula ROUND(RADIANS(a02), 4) '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