Milli-radians to Seconds Converter

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How to use this Milli-radians to Seconds Converter 🤔

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

  1. Enter the input Milli-radians value in the text field.
  2. The calculator converts the given Milli-radians into Seconds in realtime ⌚ using the conversion formula, and displays under the Seconds label. You do not need to click any button. If the input changes, Seconds value is re-calculated, just like that.
  3. You may copy the resulting Seconds 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 Seconds?

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

Angle(Seconds) = Angle(Milli-radians) × 648 / 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 seconds, i.e., Angle(Seconds).

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 Seconds.

Answer:

Given:

The angle in milli-radians is:

Angle(Milli-radians) = 2

Formula:

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

Angle(Seconds) = Angle(Milli-radians) × 648 / π

Substitution:

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

Angle(Seconds) = 2 × 648 / 3.14159265359

Angle(Seconds) = 412.5296

Final Answer:

Therefore, 2 mrad is equal to 412.5296 ".

The angle is 412.5296 ", in seconds.

2

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

Answer:

Given:

The angle in milli-radians is:

Angle(Milli-radians) = 5

Formula:

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

Angle(Seconds) = Angle(Milli-radians) × 648 / π

Substitution:

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

Angle(Seconds) = 5 × 648 / 3.14159265359

Angle(Seconds) = 1031.324

Final Answer:

Therefore, 5 mrad is equal to 1031.324 ".

The angle is 1031.324 ", in seconds.

Milli-radians to Seconds Conversion Table

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

Milli-radians (mrad)Seconds (")
0 mrad0 "
1 mrad206.2648 "
10 mrad2062.6481 "
45 mrad9281.9163 "
90 mrad18563.8326 "
180 mrad37127.6651 "
360 mrad74255.3302 "
1000 mrad206264.8062 "

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.

Seconds

Seconds of arc, often simply called arcseconds, are a further subdivision of minutes of arc, with 60 seconds in one minute. This small unit is used for extremely precise angular measurements, such as those needed in astronomy, optics, and surveying, where even minute differences in angle can be significant.

Frequently Asked Questions (FAQs)

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

2. Is this tool free or paid?

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