Gradians to Milliradians Converter

To convert a measurement in gradians to a measurement in milliradians, multiply the angle by the following conversion ratio: 15.707963 milliradians/gradian. Since one gradian is equal to 15.707963 milliradians, you can use this simple formula to convert: milliradians = gradians × 15.707963. The angle in milliradians is equal to the angle in gradians multiplied by 15.707963.

How to Convert Gradians to Milliradians

When you want to change an angle measured in gradians to milliradians, follow these simple steps:

Step 1: Understand the Conversion Ratio

To convert gradians to milliradians, you need to know the conversion ratio, which is 15.707963 milliradians for every gradian.

Step 2: Apply the Conversion Formula

Use the formula:

milliradians = gradians × 15.707963

This means you multiply the number of gradians by 15.707963 to get the equivalent in milliradians.

Step 3: Example Calculation

Let’s say you have an angle of 5 gradians that you want to convert to milliradians:

milliradians = (5g × 15.707963) = 78.539816 mrad

This tells you that 5 gradians is equal to 78.539816 milliradians.

Step 4: Understanding the Units

A gradian is a unit for measuring angles, where 100 gradians make up a right angle (90°). On the other hand, a milliradian is a smaller unit, with 6,283 milliradians making up a full circle (360°).

So, when you convert from gradians to milliradians, you’re essentially scaling down the angle measurement.

For instance, if you have 1 gradian, it’s equivalent to 15.707963 milliradians. This relationship remains consistent throughout the conversion.

Step 5: Conclusion

By following these steps, you can easily convert angles from gradians to milliradians. This conversion helps you work with angles in different units, depending on your needs.

Frequently Used Gradians to Milliradians Converter