How many radians are in one gradian?

There are 0.015707963267949 radians in one gradian. This means 1 grad equals 0.015707963267949 rad.

What is the formula for gradians to radians?

The conversion formula is: radians = gradians × 0.015707963267949. Simply multiply your value in gradians by 0.015707963267949 to get the result in radians.

Convert gradians to radians (grad to rad)

Use this tool to convert between angle units like radian, degree, gradian etc.

Amount

From

0.15707963267949

Result

Convert gradians to radians quickly and easily. Our angle conversion tool provides precise calculations for grad to rad conversions.

How to Convert gradians to radians

Converting gradians to radians is straightforward. The conversion formula is:

radians = gradians × 0.015707963267949

This means that 1 gradian equals 0.015707963267949 radians. Conversely, 1 radian equals 63.661977236758 gradians.

Example Calculation

To convert 10 gradians to radians:

10 grad × 0.015707963267949 = 0.15707963267949 rad

Common gradians to radians Conversions

10 grad = 0.15707963267949 rad
50 grad = 0.78539816339745 rad
100 grad = 1.5707963267949 rad
500 grad = 7.8539816339745 rad
1000 grad = 15.707963267949 rad

Conversion Facts

1 gradian equals 0.015707963267949 radians
1 radian equals 63.661977236758 gradians
Formula: Multiply gradians by 0.015707963267949 to get radians

Common Applications

Converting between gradians and radians is frequently needed in:

Educational purposes and learning
Professional applications
Technical documentation
Scientific calculations and research

Whether you're working on a professional project or need conversions for everyday tasks, this angle converter provides accurate results instantly.

Frequently Asked Questions

How do you convert gradians to radians?

To convert gradians to radians, multiply the value by 0.015707963267949. The formula is: radians = gradians × 0.015707963267949. For example, 100 grad = 1.5707963267949 rad.

How many radians are in 1 gradian?

There are 0.015707963267949 radians in 1 gradian. This is the standard conversion factor for angle measurements.

What is the formula for converting grad to rad?

The conversion formula is: rad = grad × 0.015707963267949. Simply multiply your gradians value by 0.015707963267949 to get the equivalent in radians.

How do you convert radians to gradians?

To convert radians back to gradians, multiply by 63.661977236758. The inverse formula is: gradians = radians × 63.661977236758.

Is gradians to radians conversion accurate?

Yes, this converter uses the standard international conversion factor of 0.015707963267949, ensuring accurate and reliable results for all angle conversions.

When should I use gradians vs radians?

gradians and radians are different units of angle. Use gradians for various applications and radians for various applications.

gradians to radians Conversion Reference

Quick reference table showing common gradians to radians conversions. Use this chart for fast lookups of frequently used values.

grad	rad
0.1 grad	0.0015707963267949 rad
0.2 grad	0.0031415926535898 rad
0.3 grad	0.0047123889803847 rad
0.4 grad	0.0062831853071796 rad
0.5 grad	0.0078539816339745 rad
0.6 grad	0.0094247779607694 rad
0.7 grad	0.010995574287564 rad
0.8 grad	0.012566370614359 rad
0.9 grad	0.014137166941154 rad

grad	rad
1 grad	0.015707963267949 rad
2 grad	0.031415926535898 rad
3 grad	0.047123889803847 rad
4 grad	0.062831853071796 rad
5 grad	0.078539816339745 rad
6 grad	0.094247779607694 rad
7 grad	0.10995574287564 rad
8 grad	0.12566370614359 rad
9 grad	0.14137166941154 rad

grad	rad
10 grad	0.15707963267949 rad
20 grad	0.31415926535898 rad
30 grad	0.47123889803847 rad
40 grad	0.62831853071796 rad
50 grad	0.78539816339745 rad
60 grad	0.94247779607694 rad
70 grad	1.0995574287564 rad
80 grad	1.2566370614359 rad
90 grad	1.4137166941154 rad

grad	rad
100 grad	1.5707963267949 rad
200 grad	3.1415926535898 rad
300 grad	4.7123889803847 rad
400 grad	6.2831853071796 rad
500 grad	7.8539816339745 rad
600 grad	9.4247779607694 rad
700 grad	10.995574287564 rad
800 grad	12.566370614359 rad
900 grad	14.137166941154 rad

grad	rad
1000 grad	15.707963267949 rad
2000 grad	31.415926535898 rad
3000 grad	47.123889803847 rad
4000 grad	62.831853071796 rad
5000 grad	78.539816339745 rad
6000 grad	94.247779607694 rad
7000 grad	109.95574287564 rad
8000 grad	125.66370614359 rad
9000 grad	141.37166941154 rad

grad	rad
10000 grad	157.07963267949 rad
20000 grad	314.15926535898 rad
30000 grad	471.23889803847 rad
40000 grad	628.31853071796 rad
50000 grad	785.39816339745 rad
60000 grad	942.47779607694 rad
70000 grad	1099.5574287564 rad
80000 grad	1256.6370614359 rad
90000 grad	1413.7166941154 rad