Milliradian to Turn Converter (and vice versa)
Created by: tinycalcs.com/en
Number of supported units: 2
Last update: 2026
This converter allows you to convert milliradians [mrad] to turns [tr] or turns [tr] to milliradians [mrad]. Calculations are performed in both directions. The calculation result and the entered value are displayed with up to 20 decimal places for maximum accuracy.
Convert milliradians to turns
There are two simple ways to convert milliradians [mrad] to turns [tr]. In the first calculation method, the value in milliradians [mrad] is divided by the rounded conversion factor of 6,283.1853. The second method multiplies the value in milliradians [mrad] by the rounded conversion factor of 1.592 * 10-4.
- Turns [tr] ≈ milliradians [mrad] ÷ 6,283.1853
- Turns [tr] ≈ milliradians [mrad] * 1.592 * 10-4
However, rounded conversion values are only suitable for rough conversions, as rounding errors can occur in the calculation result. The most accurate conversion of milliradians [mrad] to turns [tr] can be achieved using the following calculation method.
- Turns [tr] = milliradians [mrad] ÷ π ÷ 2,000
Convert turns to milliradians
Converting turns [tr] to milliradians [mrad] is easy and can be done in two ways. The first method involves multiplication, in which the value in turns [tr] is multiplied by the rounded conversion factor of 6,283.1853. The second variant is a division. Here, the value in turns [tr] is divided by the rounded conversion factor of 1.592 * 10-4.
- Milliradians [mrad] ≈ turns [tr] * 6,283.1853
- Milliradians [mrad] ≈ turns [tr] ÷ (1.592 * 10-4)
However, rounded conversion values do not allow for exact calculations because rounding errors can occur in the calculation result. The most accurate conversion of turns [tr] to milliradians [mrad] can be achieved using the following calculation method.
- Milliradians [mrad] = turns [tr] * π * 2,000
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