Sextants to Milli-radians Converter

Enter Sextants


Milli-radians





⇅ Switch toMilli-radians to Sextants Converter

How to use this Sextants to Milli-radians Converter 🤔

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

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

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

Angle(Milli-radians) = Angle(Sextants) × 2000 × π / 6

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

Calculation

Calculation will be done after you enter a valid input.

Examples

1

Consider that an old navigation tool, the sextant, measures angles in 6 sextants.
Convert this measurement from sextants to Milli-radians.

Answer:

Given:

The angle in sextants is:

Angle(Sextants) = 6

Formula:

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

Angle(Milli-radians) = Angle(Sextants) × 2000 × π / 6

Substitution:

Substitute given weight Angle(Sextants) = 6 in the above formula.

Angle(Milli-radians) = 6 × 2000 × 3.14159265359 / 6

Angle(Milli-radians) = 6283.1853

Final Answer:

Therefore, 6 sextant is equal to 6283.1853 mrad.

The angle is 6283.1853 mrad, in milli-radians.

2

Consider that an astronomer divides the night sky into 2 sextants for observation.
Convert this division from sextants to Milli-radians.

Answer:

Given:

The angle in sextants is:

Angle(Sextants) = 2

Formula:

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

Angle(Milli-radians) = Angle(Sextants) × 2000 × π / 6

Substitution:

Substitute given weight Angle(Sextants) = 2 in the above formula.

Angle(Milli-radians) = 2 × 2000 × 3.14159265359 / 6

Angle(Milli-radians) = 2094.3951

Final Answer:

Therefore, 2 sextant is equal to 2094.3951 mrad.

The angle is 2094.3951 mrad, in milli-radians.

Sextants to Milli-radians Conversion Table

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

Sextants (sextant)Milli-radians (mrad)
0 sextant0 mrad
1 sextant1047.1976 mrad
10 sextant10471.9755 mrad
45 sextant47123.8898 mrad
90 sextant94247.7796 mrad
180 sextant188495.5592 mrad
360 sextant376991.1184 mrad
1000 sextant1047197.5512 mrad

Sextants

Sextants are a unit of angular measurement used primarily in navigation and astronomy, representing one-sixth of a full circle, or 60 degrees. The sextant instrument, named after this unit, is used to measure the angle between two visible objects, such as a star and the horizon, enabling precise determination of latitude and longitude at sea.

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.

Frequently Asked Questions (FAQs)

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

2. Is this tool free or paid?

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