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

- See DEGREES Function.
- See RADIANS Function.

**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` |
---|---|

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:

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 |

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