Milli-radians to Degrees Converter

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How to use this Milli-radians to Degrees Converter 🤔

Follow these steps to convert given angle from the units of Milli-radians to the units of Degrees.

  1. Enter the input Milli-radians value in the text field.
  2. The calculator converts the given Milli-radians into Degrees in realtime ⌚ using the conversion formula, and displays under the Degrees label. You do not need to click any button. If the input changes, Degrees value is re-calculated, just like that.
  3. You may copy the resulting Degrees value using the Copy button.
  4. To view a detailed step by step calculation of the conversion, click on the View Calculation button.
  5. You can also reset the input by clicking on Reset button present below the input field.

What is the Formula to convert Milli-radians to Degrees?

The formula to convert given angle from Milli-radians to Degrees is:

Angle(Degrees) = Angle(Milli-radians) × 360 / (2000 × π)

Substitute the given value of angle in milli-radians, i.e., Angle(Milli-radians) in the above formula and simplify the right-hand side value. The resulting value is the angle in degrees, i.e., Angle(Degrees).

Calculation

Calculation will be done after you enter a valid input.

Examples

1

Consider that a sniper adjusts their scope by 2 milliradians for long-distance accuracy.
Convert this angle from milliradians to Degrees.

Answer:

Given:

The angle in milli-radians is:

Angle(Milli-radians) = 2

Formula:

The formula to convert angle from milli-radians to degrees is:

Angle(Degrees) = Angle(Milli-radians) × 360 / (2000 × π)

Substitution:

Substitute given weight Angle(Milli-radians) = 2 in the above formula.

Angle(Degrees) = 2 × 360 / (2000 × 3.14159265359)

Angle(Degrees) = 0.1146

Final Answer:

Therefore, 2 mrad is equal to 0.1146 °.

The angle is 0.1146 °, in degrees.

2

Consider that a military rangefinder uses 5 milliradians for precise targeting.
Convert this angle from milliradians to Degrees.

Answer:

Given:

The angle in milli-radians is:

Angle(Milli-radians) = 5

Formula:

The formula to convert angle from milli-radians to degrees is:

Angle(Degrees) = Angle(Milli-radians) × 360 / (2000 × π)

Substitution:

Substitute given weight Angle(Milli-radians) = 5 in the above formula.

Angle(Degrees) = 5 × 360 / (2000 × 3.14159265359)

Angle(Degrees) = 0.2865

Final Answer:

Therefore, 5 mrad is equal to 0.2865 °.

The angle is 0.2865 °, in degrees.

Milli-radians to Degrees Conversion Table

The following table gives some of the most used conversions from Milli-radians to Degrees.

Milli-radians (mrad)Degrees (°)
0 mrad0 °
1 mrad0.05729577951 °
10 mrad0.573 °
45 mrad2.5783 °
90 mrad5.1566 °
180 mrad10.3132 °
360 mrad20.6265 °
1000 mrad57.2958 °

Milli-radians

Milli-radians (mrad) are a unit of angular measurement equal to one-thousandth of a radian. This small unit is used in fields such as ballistics, gunnery, and optics, where precise angular measurements are critical. Milli-radians allow for the calculation of minute angular displacements, distances, and target adjustments.

Degrees

Degrees are a widely used unit of angular measurement, especially in geometry, trigonometry, and everyday applications. A full circle is divided into 360 degrees, with each degree further divided into 60 minutes and each minute into 60 seconds. Degrees offer an intuitive way to express angles, and they are prevalent in fields ranging from navigation to astronomy, as well as in common day-to-day measurements.

Frequently Asked Questions (FAQs)

1. What is the formula for converting Milli-radians to Degrees in Angle?

2. Is this tool free or paid?

3. How do I convert Angle from Milli-radians to Degrees?