Gradians to Radians Converter

To convert a measurement in gradians to a measurement in radians, multiply the angle by the following conversion ratio: 0.015708 radians/gradian. Since one gradian is equal to 0.015708 radians, you can use this simple formula to convert: radians = gradians × 0.015708. The angle in radians is equal to the angle in gradians multiplied by 0.015708.

How to Convert Gradians to Radians

Converting from gradians to radians is a simple process. Follow these steps to understand how:

Step 1: Understand the Basics

• Gradians: Gradians are a unit used to measure angles, where 100 gradians make up a right angle (90 degrees).
• Radians: Radians are another unit used to measure angles, where one full circle is equivalent to about 6.283 radians.

Step 2: Know the Conversion Ratio

To convert from gradians to radians, you need to multiply the angle in gradians by the conversion ratio, which is 0.015708 radians per gradian.

Step 3: Apply the Conversion Formula

Use the following formula to convert:

Radians = Gradians × 0.015708

This means you take the angle in gradians and multiply it by 0.015708 to get the equivalent angle in radians.

Step 4: Example Calculation

Let’s say you have an angle of 5 gradians that you want to convert to radians. Here’s how you do it:

Radians = (5g × 0.015708) = 0.07854 rad

So, 5 gradians is equivalent to 0.07854 radians.

Step 5: Understand the Units

Remember, radians and gradians are both units for measuring angles, just like inches and centimeters are units for measuring length. Radians are commonly used in mathematics and physics, while gradians are sometimes used in surveying and engineering.

By following these steps, you can easily convert angles from gradians to radians and vice versa, helping you work with angles in different contexts.

Frequently Used Values

Gradians to Radians Converter Chart