Hexa-Contades to Milli-radians Converter

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Milli-radians





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How to use this Hexa-Contades to Milli-radians Converter 🤔

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

  1. Enter the input Hexa-Contades value in the text field.
  2. The calculator converts the given Hexa-Contades 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 Hexa-Contades to Milli-radians?

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

Angle(Milli-radians) = Angle(Hexa-Contades) × 2000 × π / 60

Substitute the given value of angle in hexa-contades, i.e., Angle(Hexa-Contades) 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 astronomical observation is recorded at 20 hexacontades.
Convert this angle from hexacontades to Milli-radians.

Answer:

Given:

The angle in hexa-contades is:

Angle(Hexa-Contades) = 20

Formula:

The formula to convert angle from hexa-contades to milli-radians is:

Angle(Milli-radians) = Angle(Hexa-Contades) × 2000 × π / 60

Substitution:

Substitute given weight Angle(Hexa-Contades) = 20 in the above formula.

Angle(Milli-radians) = 20 × 2000 × 3.14159265359 / 60

Angle(Milli-radians) = 2094.3951

Final Answer:

Therefore, 20 hexacontade is equal to 2094.3951 mrad.

The angle is 2094.3951 mrad, in milli-radians.

2

Consider that a solar panel's angle is adjusted by 10 hexacontades for maximum efficiency.
Convert this angle from hexacontades to Milli-radians.

Answer:

Given:

The angle in hexa-contades is:

Angle(Hexa-Contades) = 10

Formula:

The formula to convert angle from hexa-contades to milli-radians is:

Angle(Milli-radians) = Angle(Hexa-Contades) × 2000 × π / 60

Substitution:

Substitute given weight Angle(Hexa-Contades) = 10 in the above formula.

Angle(Milli-radians) = 10 × 2000 × 3.14159265359 / 60

Angle(Milli-radians) = 1047.1976

Final Answer:

Therefore, 10 hexacontade is equal to 1047.1976 mrad.

The angle is 1047.1976 mrad, in milli-radians.

Hexa-Contades to Milli-radians Conversion Table

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

Hexa-Contades (hexacontade)Milli-radians (mrad)
0 hexacontade0 mrad
1 hexacontade104.7198 mrad
10 hexacontade1047.1976 mrad
45 hexacontade4712.389 mrad
90 hexacontade9424.778 mrad
180 hexacontade18849.5559 mrad
360 hexacontade37699.1118 mrad
1000 hexacontade104719.7551 mrad

Hexa-Contades

Hexa-contades are an ancient unit of angular measurement, originating from Babylonian astronomy, where the circle was divided into 60 parts, with each part further divided into 6 degrees. This system reflects the base-60 numeral system used by the Babylonians and was foundational in early astronomical calculations.

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 Hexa-Contades to Milli-radians in Angle?

2. Is this tool free or paid?

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