Gradians to Milli-radians Converter

Gradiansgon

Milli-radians

15.70796326795

mrad

Calculation: Converting 1 Gradians to Milli-radians

This is a step by step calculation to convert 1 Gradians to Milli-radians.

Formula:

The formula to convert from Gradians to Milli-radians is:

Angle_{[Milli-radians]} = Angle_[Gradians] × 5 × π

Substitution:

Substitute Angle_[Gradians] = 1 in the formula.

Angle_{[Milli-radians]} = 1 × 5 × 3.14159265359

Answer:

Angle_{[Milli-radians]} = 15.70796326795

Therefore, 1 gradians is equal to 15.70796326795 milli-radians.

What is the formula to convert from Gradians to Milli-radians?

The formula to convert angle value from the unit of Gradians to the unit of Milli-radians is:

Angle_{(Milli-radians)} = Angle_(Gradians) × 5 × π

Gradians unit in Angle

Gradians, also known as gons or grades, divide a circle into 400 equal parts, with each part representing one gradian. This unit is mainly used in surveying and civil engineering, where it provides a straightforward way to work with angles that are multiples of 10 or 100. Gradians offer an alternative to degrees and radians, especially in applications that require precise angular measurements.

Milli-radians unit in Angle

Milliradians (mrad) are a unit of angular measurement equal to one-thousandth of a radian. Milliradians are commonly used in military applications, optics, and ballistics, where precise angular measurements are needed over long distances. This unit is particularly useful in targeting systems and rangefinding.

Frequently Asked Questions (FAQs) about "Gradians ➜ Milli-radians" Conversion

1. What is the conversion formula from Gradians to Milli-radians?

The formula to convert Gradians to Milli-radians in Angle is:

Gradians * 5 * π

2. How do I convert from Gradians to Milli-radians given a value in Gradians units?

To convert Angle from Gradians to Milli-radians, you can use the following formula:

Gradians * 5 * π

For example, if you have a value in Gradians, you substitute that value in place of Gradians in the above formula, and solve the mathematical expression to get the equivalent value in Milli-radians.

Gradians Unit ➜ Other Angle Units

Milli-radians Unit ➜ Other Angle Units

{
  "conversion": "gradians-to-milliradians",
  "x_slug": "gradians",
  "y_slug": "milliradians",
  "x": "gon",
  "y": "mrad",
  "x_desc": "Gradians",
  "y_desc": "Milli-radians",
  "category": "Angle",
  "symbol": "m",
  "formula": "x * 5 * π",
  "precision": 11,
  "units": [
    [
      "degrees",
      "Degrees",
      "°"
    ],
    [
      "radians",
      "Radians",
      "rad"
    ],
    [
      "gradians",
      "Gradians",
      "gon"
    ],
    [
      "minutes",
      "Minutes",
      "'"
    ],
    [
      "seconds",
      "Seconds",
      "\""
    ],
    [
      "turns",
      "Turns",
      "turn"
    ],
    [
      "circles",
      "Circles",
      "circle"
    ],
    [
      "binary_degrees",
      "Binary Degrees",
      "°"
    ],
    [
      "compass_points",
      "Compass Points",
      "compass point"
    ],
    [
      "diameter_part",
      "Diameter Parts",
      "diameter part"
    ],
    [
      "hexacontades",
      "Hexa-Contades",
      "hexacontade"
    ],
    [
      "hour_angles",
      "Hour Angles",
      "hour angle"
    ],
    [
      "right_angles",
      "Right Angles",
      "right angle"
    ],
    [
      "milliradians",
      "Milli-radians",
      "mrad"
    ],
    [
      "quadrants",
      "Quadrants",
      "quadrant"
    ],
    [
      "sextants",
      "Sextants",
      "sextant"
    ],
    [
      "pi_radians",
      "π Radians",
      "π radians"
    ],
    [
      "zam",
      "Zam",
      "zam"
    ]
  ],
  "x_long_desc": "Gradians, also known as gons or grades, divide a circle into 400 equal parts, with each part representing one gradian. This unit is mainly used in surveying and civil engineering, where it provides a straightforward way to work with angles that are multiples of 10 or 100. Gradians offer an alternative to degrees and radians, especially in applications that require precise angular measurements.",
  "y_long_desc": "Milliradians (mrad) are a unit of angular measurement equal to one-thousandth of a radian. Milliradians are commonly used in military applications, optics, and ballistics, where precise angular measurements are needed over long distances. This unit is particularly useful in targeting systems and rangefinding."
}