Angle Converter

There is no single process for interchangeably converting between different angle units. Each conversion will be unique, depending on the units involved. However, some basic steps that can be followed include:

  1. Know the conversion factors between the units. This information can usually be found in a conversion table.
  2. Convert the angle value from one unit to another using the conversion factors.
  3. Check the results to ensure that they are accurate.
\mathrm {desiredAngle} (a) = \frac {|a \cdot fromFactor|}{toFactor}Table of conversion factors to interchange the different angle units
UnitConversion Factor
RADIAN1
DEGREE57.2957795
Gradians0.9
MINUTE17.77777778
SECOND4.8481481
MILLIRADIAN0.15915494
MICRORADIAN1e-6
NANORADIAN1e-9
ANGSTROM0.000000001
HECTORAD100

Example 1: Convert 136.6 degrees to radians.
136.6 degree = (136.6 * 57.2957795)/1 = 7826.6034797 radians.

Example 2: Convert 136.6 gradian to minutes.
136.6 gradian = (136.6 * 0.9)/17.77777778 = 6.915374999135578 minutes.

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