Circles to Milli-radians Converter

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Milli-radians





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How to use this Circles to Milli-radians Converter 🤔

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

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

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

Angle(Milli-radians) = Angle(Circles) × 2000 × π

Substitute the given value of angle in circles, i.e., Angle(Circles) 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 a Ferris wheel rotates through 0.5 circles during one ride.
Convert this rotation from circles to Milli-radians.

Answer:

Given:

The angle in circles is:

Angle(Circles) = 0.5

Formula:

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

Angle(Milli-radians) = Angle(Circles) × 2000 × π

Substitution:

Substitute given weight Angle(Circles) = 0.5 in the above formula.

Angle(Milli-radians) = 0.5 × 2000 × 3.14159265359

Angle(Milli-radians) = 3141.5927

Final Answer:

Therefore, 0.5 circle is equal to 3141.5927 mrad.

The angle is 3141.5927 mrad, in milli-radians.

2

Consider that a drone completes 3 circles in the air during a maneuver.
Convert this rotation from circles to Milli-radians.

Answer:

Given:

The angle in circles is:

Angle(Circles) = 3

Formula:

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

Angle(Milli-radians) = Angle(Circles) × 2000 × π

Substitution:

Substitute given weight Angle(Circles) = 3 in the above formula.

Angle(Milli-radians) = 3 × 2000 × 3.14159265359

Angle(Milli-radians) = 18849.5559

Final Answer:

Therefore, 3 circle is equal to 18849.5559 mrad.

The angle is 18849.5559 mrad, in milli-radians.

Circles to Milli-radians Conversion Table

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

Circles (circle)Milli-radians (mrad)
0 circle0 mrad
1 circle6283.1853 mrad
10 circle62831.8531 mrad
45 circle282743.3388 mrad
90 circle565486.6776 mrad
180 circle1130973.3553 mrad
360 circle2261946.7106 mrad
1000 circle6283185.3072 mrad

Circles

Circles, in the context of angular measurement, refer to a full rotation or turn, equivalent to 360 degrees or one complete revolution. This unit is often used in discussions of periodic motion, waveforms, and cyclic processes, where the concept of a full rotation is integral to understanding patterns and cycles.

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 Circles to Milli-radians in Angle?

2. Is this tool free or paid?

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